
Time bar (total: 8.0s)
| 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)
| 549.0ms | 5 971× | 0 | valid |
| 309.0ms | 815× | 2 | valid |
| 237.0ms | 1 470× | 1 | valid |
ival-add: 305.0ms (38.8% of total)adjust: 172.0ms (21.9% of total)ival-div: 159.0ms (20.2% of total)ival-sub: 78.0ms (9.9% of total)ival->: 42.0ms (5.3% of total)exact: 14.0ms (1.8% of total)ival-and: 12.0ms (1.5% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 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 | 72 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 72 | 0 |
| - | 0 | 184 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 72 | 0 | 0 |
| - | 0 | 0 | 184 |
| number | freq |
|---|---|
| 0 | 184 |
| 1 | 72 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 54× | 2 | valid |
| 39.0ms | 370× | 0 | valid |
| 14.0ms | 88× | 1 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-sub: 50.0ms (53.2% of total)ival-add: 25.0ms (26.6% of total)ival-div: 9.0ms (9.6% of total)adjust: 9.0ms (9.6% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 73 |
| 1 | 69 | 73 |
| 2 | 166 | 73 |
| 3 | 402 | 73 |
| 4 | 1384 | 69 |
| 5 | 6981 | 69 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 31 | 13 |
| 2 | 58 | 13 |
| 3 | 131 | 13 |
| 4 | 450 | 13 |
| 5 | 3492 | 13 |
| 6 | 6902 | 13 |
| 0 | 8111 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.7% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
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 | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 31 | 48 |
| 2 | 58 | 48 |
| 3 | 131 | 48 |
| 4 | 450 | 48 |
| 5 | 3492 | 48 |
| 6 | 6902 | 48 |
| 0 | 8111 | 47 |
| 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) |
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 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 (-.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 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 16.169028079582805 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 43.0ms | 185× | 0 | valid |
| 7.0ms | 44× | 1 | valid |
| 7.0ms | 27× | 2 | valid |
Compiled 50 to 12 computations (76% saved)
ival-sub: 32.0ms (66.9% of total)ival-div: 6.0ms (12.5% of total)ival-add: 5.0ms (10.5% of total)adjust: 4.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
(* 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 (/ 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)))) |
(/ 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))) |
beta |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 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) |
(/ (+ 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 |
(- (/ 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 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta 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) (+ 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 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ 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 (/ 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))) |
(* -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)))))) |
(- beta alpha) |
(+ 2 alpha) |
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)))))) |
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)))))) |
(- (+ 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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 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))) |
(- (+ 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 (* -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))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6757 | 1937 |
| 0 | 9039 | 1843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (/ 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)))) |
(/ 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))) |
beta |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 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) |
(/ (+ 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 |
(- (/ 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 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta 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) (+ 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 (/ (- (* -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 (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ 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 (/ 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))) |
(* -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)))))) |
(- beta alpha) |
(+ 2 alpha) |
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)))))) |
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)))))) |
(- (+ 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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 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))) |
(- (+ 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 (* -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))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #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 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 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 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 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 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* 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 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* 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 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 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 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.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) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal 1/2 binary64) (+.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 (/ (- (* -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 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ 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 1 binary64) beta) #s(literal 2 binary64) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) 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) |
(/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) 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 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha))) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(- (+ (* -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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 beta alpha)) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha)) alpha) #s(literal -1 binary64))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(* -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 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) 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 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) 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 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) (neg.f64 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -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 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) #s(literal 1/2 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 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(- 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))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.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))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(- (+ 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))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -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 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -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 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(+ 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 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 (-.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) |
(- (+ 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 (+.f64 (fma.f64 (neg.f64 alpha) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) alpha) beta)) (/.f64 (-.f64 alpha #s(literal -2 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 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64))) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) 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 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 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 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #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 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 86 | 44 |
| 0 | 703 | 44 |
| 1× | iter limit |
| 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 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha beta)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(-.f64 beta alpha) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
Compiled 4 933 to 845 computations (82.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 13 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 152 | 13 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| 66.0% | (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 57.8% | (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 49.0% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 25.4% | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha)) alpha)) #s(literal 2 binary64)) | |
| 23.8% | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))) #s(literal 2 binary64)) | |
| ▶ | 74.7% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ▶ | 72.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 26.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 26.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) | |
| 29.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| 50.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) | |
| ▶ | 37.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 770 to 474 computations (38.4% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| cost-diff | 1 | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #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 alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 1 | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 346 |
| 0 | 62 | 346 |
| 1 | 127 | 346 |
| 2 | 392 | 340 |
| 3 | 1897 | 340 |
| 0 | 8371 | 330 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/4 binary64) |
(-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) |
#s(literal 8 binary64) |
(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) |
(+.f64 alpha beta) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/4 binary64) |
(-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) |
(+.f64 alpha beta) |
#s(literal 3 binary64) |
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) | |
| accuracy | 0.03125 | (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 5.152564577014446 | (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) | |
| accuracy | 23.083596397075855 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) | |
| accuracy | 16.17414430567166 | (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 32.256506995827046 | (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 17.433936655600352 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 40.28309687688685 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) | |
| accuracy | 16.16553908345751 | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 111.0ms | 47× | 2 | valid |
| 54.0ms | 93× | 1 | valid |
| 29.0ms | 116× | 0 | valid |
Compiled 343 to 39 computations (88.6% saved)
adjust: 30.0ms (25% of total)ival-div: 29.0ms (24.2% of total)ival-add: 26.0ms (21.7% of total)ival-mult: 15.0ms (12.5% of total)ival-sub: 10.0ms (8.3% of total)ival-pow: 6.0ms (5% of total)ival-pow2: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) |
| Outputs |
|---|
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
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beta |
(+ beta (* -1 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(/ (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)) |
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(- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) |
(- (+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) 1/4) |
(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) 1/4) |
(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) 1/4) |
(* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) |
(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) |
(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) |
(* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
(+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3)))))) |
(+ (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))) (* 1/2 (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))))) |
(+ (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))) |
(+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3))))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
(/ beta (+ 8 (pow beta 3))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- (* 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) |
(pow beta 2) |
(+ (* 2 (* alpha beta)) (pow beta 2)) |
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) |
(pow beta 3) |
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 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))))) 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 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 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) |
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (* 1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2)))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* 1/4 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))))) (pow alpha 3))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha)) (+ (* 1/8 (/ (* (pow (+ 2 beta) 2) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (pow alpha 3))))))))) alpha) |
(* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
(/ (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) alpha) |
(/ (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)))) alpha) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))))) alpha) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))) |
(+ 1/4 (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2))))) |
(+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2)))))) |
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha) |
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha) |
(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
(/ -1 (pow alpha 2)) |
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
-1 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha)))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(pow alpha 3) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha)))) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))))) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ 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)) |
(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) (* 1/8 (* (pow (+ 2 beta) 2) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/4 (/ (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) alpha))) alpha)) (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(+ 1/4 (* -1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) |
(* -1/2 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha)) |
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(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha)) |
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (+ (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) alpha)) (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))))) alpha))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
(/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1) |
(- (* -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) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha)))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(- 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))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 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)))) |
2 |
(/ (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)) |
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(- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) |
(- (+ (* 1/4 (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))))) (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) 1/4) |
(- (+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* 1/4 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))))))) 1/4) |
(- (+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* beta (+ (* 1/4 (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))))))) 1/4) |
(* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* 1/4 (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))))) (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) |
(+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* 1/4 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))))))) |
(+ (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (* beta (+ (* 1/4 (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* beta (+ (* 1/4 (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))))))) |
(* 1/2 (+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))))) |
(+ (* 1/2 (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3))))))) |
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))))) |
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))))))) |
(+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3))))) |
(+ 1 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))) |
(+ 1 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))) |
(+ 1 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (+ (* 2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))) |
(* -1 (/ alpha (+ 8 (pow alpha 3)))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ 2 alpha) |
(- (* -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))))))))) 1/2) |
(+ (* 2 (* alpha beta)) (pow alpha 2)) |
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(+ 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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 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))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) |
(- (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha)))))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha)))))) |
(- (+ (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha))))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha)))))))) |
(- (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (* (pow beta 3) (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha)))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 3) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)))))))) |
(* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) |
(/ (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta))) beta) |
(/ (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta)))) beta) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta))))) beta) |
(+ 1/4 (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta))) |
(+ 1/4 (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (* 2 (/ (- 2 alpha) (pow beta 2)))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (* 2 (/ (- 2 alpha) (pow beta 2))))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)) (/ (pow alpha 3) (pow beta 3)))))))))) |
(/ 1 (pow beta 2)) |
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2)) |
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2)) |
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2)) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/2 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))))))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(+ 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 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) |
(+ (* -1 (/ (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ 2 alpha) (- (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(* -1/4 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)) |
(* -1 (/ (+ (* -1/4 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) (* 1/4 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) beta))) beta)) (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(+ 1/4 (* -1/4 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta))) |
(- (+ 2 (* -1 (/ (+ 2 (+ alpha (* -2 alpha))) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta))) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2)) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2)) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) |
(* -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 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | beta | @ | inf | ((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (/ (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 2 (+ alpha beta)) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (pow (+ alpha beta) 2) (pow (+ alpha beta) 3)) |
| 14.0ms | alpha | @ | -inf | ((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (/ (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 2 (+ alpha beta)) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (pow (+ alpha beta) 2) (pow (+ alpha beta) 3)) |
| 13.0ms | beta | @ | 0 | ((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (/ (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 2 (+ alpha beta)) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (pow (+ alpha beta) 2) (pow (+ alpha beta) 3)) |
| 12.0ms | alpha | @ | 0 | ((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (/ (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 2 (+ alpha beta)) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (pow (+ alpha beta) 2) (pow (+ alpha beta) 3)) |
| 10.0ms | alpha | @ | inf | ((* (+ 2 (+ alpha beta)) 2) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (/ (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (- (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) 1/4) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ 2 (+ alpha beta)) (- (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (pow (+ alpha beta) 2) (pow (+ alpha beta) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1837 | 20402 |
| 1 | 6591 | 20088 |
| 0 | 8847 | 18745 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 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 (/ 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)))))))) |
beta |
(+ beta (* -1 alpha)) |
(* 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)))))))))) |
(/ (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)) |
(- (+ (* 1/4 (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) (* alpha (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) |
(- (+ (* 1/4 (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) (* alpha (- (+ (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* alpha (- (* 1/4 (/ (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (* (+ 2 beta) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) |
(- (+ (* 1/4 (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) (* alpha (- (+ (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* alpha (- (+ (* 1/4 (/ (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* alpha (- (* 1/4 (/ (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (* (+ 2 beta) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (* (+ 2 beta) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))))))))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (* (+ 2 beta) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) |
(- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) |
(- (+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) 1/4) |
(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) 1/4) |
(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) 1/4) |
(* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) |
(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) |
(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) |
(* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
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(+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
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(/ beta (+ 8 (pow beta 3))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- (* 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) |
(pow beta 2) |
(+ (* 2 (* alpha beta)) (pow beta 2)) |
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) |
(pow beta 3) |
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 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))))) 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 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 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) |
(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (* 1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2)))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* 1/4 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))))) (pow alpha 3))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha)) (+ (* 1/8 (/ (* (pow (+ 2 beta) 2) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (pow alpha 3))))))))) alpha) |
(* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
(/ (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) alpha) |
(/ (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)))) alpha) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))))) alpha) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))) |
(+ 1/4 (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2))))) |
(+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2)))))) |
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha) |
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha) |
(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
(/ -1 (pow alpha 2)) |
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
-1 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha)))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(pow alpha 3) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha)))) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))))) |
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ 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)) |
(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) (* 1/8 (* (pow (+ 2 beta) 2) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (* 1/4 (/ (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) alpha))) alpha)) (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(+ 1/4 (* -1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) alpha)) (* 1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))) |
(* -1/2 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) alpha)) |
(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (+ (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) alpha)) (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))))) alpha))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
(/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1) |
(- (* -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) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha)))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1))) |
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(- 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))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 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)))) |
2 |
(/ (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)) |
(- (+ (* 1/4 (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)))) (* beta (- (* 1/4 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2))) (* 1/2 (/ (* (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)))) |
(- (+ (* 1/4 (/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)))) (* beta (- (+ (* 1/4 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2))) (* beta (- (* 1/4 (/ (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2))) (+ (* 1/2 (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4)) (pow (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2) 2))) (* 1/2 (/ (* (- (* 1/4 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2))) (* 1/2 (/ (* (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2) 2)))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2))))))) (* 1/2 (/ (* (- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* -1/2 (/ alpha (+ 2 alpha))) 1/2)))) |
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(- (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1/4) |
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(* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
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(* 1/2 (+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))))) |
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(+ 1 (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3))))) |
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(+ 1 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))) |
(+ 1 (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (+ (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (+ (* 2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3))))))))) (+ (* -1 (/ (* alpha (* (+ alpha (* 2 alpha)) (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 2 (/ (- 2 alpha) (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ (* 2 (- 2 alpha)) (pow alpha 2)) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))) |
(* -1 (/ alpha (+ 8 (pow alpha 3)))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))) |
(+ 2 alpha) |
(- (* -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))))))))) 1/2) |
(+ (* 2 (* alpha beta)) (pow alpha 2)) |
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)) |
(+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(+ 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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 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))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) |
(- (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha)))))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha)))))) |
(- (+ (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha))))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha)))))))) |
(- (+ (* -1/2 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (* (pow beta 3) (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (- (* -1 alpha) (+ 2 alpha)))))))) (+ (* -1 (/ (* (+ 2 alpha) (- (* -1/2 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 alpha) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* beta (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 3) (- (* -1 alpha) (+ 2 alpha))))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* (pow beta 2) (- (* -1 alpha) (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- (* 1/2 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)))))))) |
(* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) |
(/ (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta))) beta) |
(/ (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta)))) beta) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) beta))))) beta) |
(+ 1/4 (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta))) |
(+ 1/4 (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (+ (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)) (* 1/4 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (* 2 (/ (- 2 alpha) (pow beta 2)))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) (pow beta 3))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (pow beta 2))) (* 2 (/ (- 2 alpha) (pow beta 2))))))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -1 (* alpha (- (* 2 alpha) 2))) (* 2 (- 2 alpha))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)) (/ (pow alpha 3) (pow beta 3)))))))))) |
(/ 1 (pow beta 2)) |
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2)) |
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2)) |
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2)) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/2 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta) |
(/ (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta)))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta)))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2))))))) |
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(+ 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 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) |
(+ (* -1 (/ (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 3) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* (+ 2 alpha) (- (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) (* (pow (+ 2 alpha) 2) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* 1/2 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (- (* -1 alpha) (+ 2 alpha))))) (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))) (* (+ 2 alpha) (- (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha))))) (* -1/2 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) |
(* -1/4 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)) |
(* -1 (/ (+ (* -1/4 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) (* 1/4 (/ (+ (* 2 (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) beta))) beta)) (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta)) |
(+ 1/4 (* -1/4 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* 1/4 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta))) |
(- (+ 2 (* -1 (/ (+ 2 (+ alpha (* -2 alpha))) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta))) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2)) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2)) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) |
(* -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 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1))) |
| Outputs |
|---|
(* 2 (+ 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #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 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha)) |
(+ 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))))))))) |
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(* 1/2 (/ beta (+ 2 beta))) |
(*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
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beta |
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(/ (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)) |
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(- (+ (* 1/4 (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) (* alpha (- (+ (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* alpha (- (+ (* 1/4 (/ (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* alpha (- (* 1/4 (/ (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (* (+ 2 beta) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (+ (* -1/2 (/ (* (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (* (+ 2 beta) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))))))))) (+ (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2))))) (- (* 1/2 (/ beta (+ 2 beta))) 1/2))) (* 1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (* (+ 2 beta) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))))) (* -1/2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4)) (pow (- (* 1/2 (/ beta (+ 2 beta))) 1/2) 2)))))) (* 1/4 (/ 1 (- (* 1/2 (/ beta (+ 2 beta))) 1/2)))) |
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(- (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) 1/4) |
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(- (+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) 1/4) |
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(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) 1/4) |
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(- (+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) 1/4) |
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(* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* 1/4 (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))) (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) |
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(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))))))) |
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(+ (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2))) (* alpha (+ (* 1/4 (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (* alpha (+ (* 1/4 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2)))))) (* 1/4 (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))))))) |
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(* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
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(+ (* 1/2 (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3)))))) |
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(+ (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))) (* 1/2 (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2))))))) |
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(+ (* 1/2 (+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))) |
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(+ 1 (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3)))) |
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(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
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(+ 1 (+ (* alpha (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (+ (* alpha (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ beta (* 2 beta)) (+ (* 2 (- 2 beta)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3))))) (/ (* beta (* (+ (* 2 (- 2 beta)) (pow beta 2)) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ 8 (pow beta 3))))) |
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(/ beta (+ 8 (pow beta 3))) |
(/.f64 beta (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
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(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3)))) |
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(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(- (* 1/2 (/ beta (+ 2 beta))) 1/2) |
(-.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) 1/2) |
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(- (+ (* 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) |
(-.f64 (fma.f64 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(- (+ (* 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) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow beta 2) |
(*.f64 beta beta) |
(+ (* 2 (* alpha beta)) (pow beta 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) alpha beta) beta) |
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) beta alpha) alpha (*.f64 beta beta)) |
(pow beta 3) |
(pow.f64 beta #s(literal 3 binary64)) |
(+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) alpha (pow.f64 beta #s(literal 3 binary64))) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)) |
(fma.f64 (fma.f64 (*.f64 beta beta) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) beta) alpha (*.f64 beta beta))) alpha (pow.f64 beta #s(literal 3 binary64))) |
(+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)) |
(fma.f64 (fma.f64 (*.f64 beta beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) beta alpha) alpha (*.f64 beta beta))) alpha (pow.f64 beta #s(literal 3 binary64))) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) #s(literal -1/2 binary64) (*.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) 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 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (neg.f64 (+.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 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)))))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(-.f64 (*.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) (-.f64 (*.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)))) #s(literal 1/2 binary64)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 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 (/ (- (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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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
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(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) alpha) |
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(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))))) alpha) |
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(* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
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(/ (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) alpha) |
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(/ (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))))) alpha) |
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1/4 |
#s(literal 1/4 binary64) |
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(+ 1/4 (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2))))) |
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(+ 1/4 (+ (* -1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (+ (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) (* 1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) (pow alpha 2)))))) |
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(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)) |
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha) |
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha) |
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(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha) |
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(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha) |
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha) |
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ (* 2 (- 2 beta)) (pow beta 2)) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ (* 2 (- 2 beta)) (pow beta 2))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ (* 2 (- 2 beta)) (pow beta 2))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha) |
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(/ -1 (pow alpha 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) |
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2)) |
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (* -1 (/ (- (+ (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ (* 2 (- 2 beta)) (pow beta 2)))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) alpha)) (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))))) alpha))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ (* 2 (- 2 beta)) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) |
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(/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
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(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2)) |
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
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(- (* -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) |
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha)))) |
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(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (pow beta 3) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1))) |
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(* 2 (+ 2 alpha)) |
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(+ (* 2 beta) (* 2 (+ 2 alpha))) |
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1 |
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(* beta (+ 1 (* -1 (/ alpha beta)))) |
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(fma.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2)))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (*.f64 alpha alpha))) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) alpha)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (pow.f64 alpha #s(literal 3 binary64))))) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) #s(literal -1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(- (+ 2 (* -1 (/ (+ 2 (+ alpha (* -2 alpha))) beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) |
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) beta)) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))) beta))) (+ (* -2 (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (* -1 (/ (pow alpha 2) beta))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) beta)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* -1 (/ (* alpha (+ (* 2 (- 2 alpha)) (pow alpha 2))) beta))) (+ (* -1 (/ (* (+ alpha (* 2 alpha)) (- (* -1 (+ (* 2 (- 2 alpha)) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2)))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (+ (* -1 (/ (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) beta)) (+ (* 8 (/ 1 beta)) (/ (pow alpha 3) beta))))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 alpha) (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (*.f64 alpha alpha))) beta)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) alpha)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))))) (neg.f64 (*.f64 (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha))))) beta) (/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal 8 binary64)) beta))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) alpha)))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) #s(literal -2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 beta beta)) |
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64))) (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)) (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) alpha) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 8 binary64)) beta) (*.f64 alpha alpha)) (neg.f64 (*.f64 (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) alpha))))) beta) #s(literal -1 binary64) (neg.f64 (-.f64 (neg.f64 alpha) (*.f64 #s(literal 3 binary64) alpha)))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) beta)) |
(* -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)) |
(neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta))) beta)) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (/.f64 (neg.f64 (*.f64 alpha alpha)) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha beta))) #s(literal 1 binary64)) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) beta))) alpha) beta)) #s(literal 1 binary64)) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (pow alpha 3) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) beta) #s(literal -1 binary64) (neg.f64 (*.f64 alpha alpha)))) beta))) alpha) beta)) #s(literal 1 binary64)) (pow.f64 beta #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 265 |
| 0 | 62 | 205 |
| 1 | 302 | 191 |
| 0 | 2837 | 181 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 alpha #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 beta #s(literal 2 binary64))) |
(+.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) |
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(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) |
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(+.f64 alpha (+.f64 beta #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal -2 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (+.f64 beta alpha)) (neg.f64 (+.f64 beta alpha))) |
(*.f64 (fabs.f64 (+.f64 beta alpha)) (fabs.f64 (+.f64 beta alpha))) |
(*.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) (exp.f64 (log.f64 (+.f64 beta alpha)))) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 beta alpha)) (-.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 beta alpha)) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (*.f64 (-.f64 alpha beta) (-.f64 alpha beta))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 (-.f64 alpha beta) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 alpha beta))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) |
(fma.f64 (+.f64 beta alpha) beta (*.f64 (+.f64 beta alpha) alpha)) |
(fma.f64 (+.f64 beta alpha) alpha (*.f64 (+.f64 beta alpha) beta)) |
(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha))) |
(fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 2 binary64))) |
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) |
(+.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (+.f64 beta alpha) alpha)) |
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (*.f64 (+.f64 beta alpha) beta)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta alpha)) |
(*.f64 (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha)) |
(fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta)) |
(fma.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(fma.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 3 binary64))) |
(+.f64 (*.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(+.f64 (*.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha)) |
(+.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) beta)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 beta alpha)) #s(literal 3 binary64)))) |
Compiled 59 772 to 4 606 computations (92.3% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 038 | 12 | 1 050 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 046 | 17 | 1 063 |
| Status | Accuracy | Program |
|---|---|---|
| 75.0% | (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) | |
| ▶ | 75.7% | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
| 74.7% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) | |
| ▶ | 66.1% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
| 3.7% | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 72.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 26.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) | |
| ▶ | 29.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
| ▶ | 44.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| 46.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| 29.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| ▶ | 49.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 25.4% | #s(approx (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (neg.f64 beta) (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (*.f64 beta beta))) #s(literal 8 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 beta beta) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (pow.f64 beta #s(literal 3 binary64))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) #s(literal 1/2 binary64))) alpha))) alpha))) | |
| 50.1% | #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| 28.4% | #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) #s(literal -1/2 binary64) (*.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) alpha)) |
Compiled 1 055 to 618 computations (41.4% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) alpha) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 beta alpha) | |
| cost-diff | 0 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| cost-diff | 7 | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 295 |
| 0 | 67 | 295 |
| 1 | 118 | 289 |
| 2 | 274 | 282 |
| 3 | 1045 | 282 |
| 4 | 5750 | 282 |
| 0 | 8309 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
beta |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
alpha |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
alpha |
beta |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
beta |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
alpha |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
alpha |
beta |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(+.f64 #s(literal 2 binary64) beta) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) | |
| accuracy | 6.416443999019433 | (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) | |
| accuracy | 16.16553908345751 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) alpha) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) | |
| accuracy | 0.02734375 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| accuracy | 45.284762190544114 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| accuracy | 17.433936655600352 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| accuracy | 22.41789607083543 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| accuracy | 17.433936655600352 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 18.91023139396731 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) | |
| accuracy | 0.01953125 | (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 0.02734375 | (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 16.173455853756405 | (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| 55.0ms | 185× | 0 | valid |
| 38.0ms | 28× | 2 | valid |
| 25.0ms | 43× | 1 | valid |
Compiled 227 to 44 computations (80.6% saved)
ival-add: 32.0ms (38% of total)adjust: 18.0ms (21.4% of total)ival-div: 15.0ms (17.8% of total)ival-mult: 11.0ms (13% of total)ival-sub: 7.0ms (8.3% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) |
(-.f64 beta alpha) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
beta |
(+ 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
(+ 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 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 (/ 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)))))))) |
(+ beta (* -1 alpha)) |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
-1/2 |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(/ alpha (+ 4 (* 2 beta))) |
(* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) |
(* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -8 (/ alpha (pow (+ 4 (* 2 beta)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(/ (+ 2 beta) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(* 1/2 (/ beta alpha)) |
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha) |
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* 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 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(* 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 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* -1/4 (/ (+ 4 (* 2 beta)) alpha)) |
(/ (- (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha) |
(/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta))))) alpha) |
(/ (- (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (* 1/4 (+ 4 (* 2 beta)))))) alpha) |
1/2 |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2)))) (* 1/4 (/ (+ 4 (* 2 beta)) alpha))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (* 1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -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 (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (/ (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (pow (+ 4 (* 2 beta)) 3))) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* -1/4 (+ 4 (* 2 beta)))) alpha))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* -1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* -1/4 (+ 4 (* 2 beta)))) alpha))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(/ beta (+ 4 (* 2 alpha))) |
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(+ 4 (* 2 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))))))))) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(- beta alpha) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(- (/ alpha (+ 4 (* 2 alpha))) 1/2) |
(- (+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(/ alpha (+ 4 (* 2 alpha))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* alpha (+ 2 (* 4 (/ 1 alpha)))) |
(+ (* 2 beta) (* alpha (+ 2 (* 4 (/ 1 alpha))))) |
(/ 2 alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 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 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(+ 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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(- (* 1/2 (/ alpha beta)) 1/2) |
(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
(- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/2 (/ alpha beta))) (+ 1/2 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) |
(* 1/2 (/ alpha beta)) |
(/ (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta)) (* 1/2 alpha)) beta) |
(/ (- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (* 1/2 alpha)) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta) |
(/ (- (+ (* -1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) (pow beta 3))) (* 1/2 alpha)) (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta)))) beta) |
(* beta (+ 2 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(+ 1 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha)))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 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 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
(* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) beta)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(* -1 (* beta (- (* -1 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta)) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | beta | @ | 0 | ((- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (* (+ 2 (+ alpha beta)) 2) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ alpha (+ (* (+ beta alpha) 2) 4)) (* (+ (* (/ (+ 2 beta) alpha) 2) 2) alpha) (/ (+ 2 beta) alpha)) |
| 9.0ms | alpha | @ | 0 | ((- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (* (+ 2 (+ alpha beta)) 2) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ alpha (+ (* (+ beta alpha) 2) 4)) (* (+ (* (/ (+ 2 beta) alpha) 2) 2) alpha) (/ (+ 2 beta) alpha)) |
| 9.0ms | beta | @ | inf | ((- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (* (+ 2 (+ alpha beta)) 2) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ alpha (+ (* (+ beta alpha) 2) 4)) (* (+ (* (/ (+ 2 beta) alpha) 2) 2) alpha) (/ (+ 2 beta) alpha)) |
| 4.0ms | alpha | @ | -inf | ((- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (* (+ 2 (+ alpha beta)) 2) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ alpha (+ (* (+ beta alpha) 2) 4)) (* (+ (* (/ (+ 2 beta) alpha) 2) 2) alpha) (/ (+ 2 beta) alpha)) |
| 4.0ms | alpha | @ | inf | ((- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) (* (+ 2 (+ alpha beta)) 2) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ alpha (+ (* (+ beta alpha) 2) 4)) (* (+ (* (/ (+ 2 beta) alpha) 2) 2) alpha) (/ (+ 2 beta) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 915 | 5207 |
| 1 | 3024 | 5073 |
| 0 | 8572 | 4588 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
beta |
(+ 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
(+ 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 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 (/ 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)))))))) |
(+ beta (* -1 alpha)) |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
-1/2 |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(/ alpha (+ 4 (* 2 beta))) |
(* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) |
(* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -8 (/ alpha (pow (+ 4 (* 2 beta)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(/ (+ 2 beta) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(* 1/2 (/ beta alpha)) |
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha) |
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* 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 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(* 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 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* -1/4 (/ (+ 4 (* 2 beta)) alpha)) |
(/ (- (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha) |
(/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta))))) alpha) |
(/ (- (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (* 1/4 (+ 4 (* 2 beta)))))) alpha) |
1/2 |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2)))) (* 1/4 (/ (+ 4 (* 2 beta)) alpha))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (* 1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -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 (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (/ (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (pow (+ 4 (* 2 beta)) 3))) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* -1/4 (+ 4 (* 2 beta)))) alpha))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* -1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* -1/4 (+ 4 (* 2 beta)))) alpha))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(/ beta (+ 4 (* 2 alpha))) |
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(+ 4 (* 2 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))))))))) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(- beta alpha) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(- (/ alpha (+ 4 (* 2 alpha))) 1/2) |
(- (+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(/ alpha (+ 4 (* 2 alpha))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* alpha (+ 2 (* 4 (/ 1 alpha)))) |
(+ (* 2 beta) (* alpha (+ 2 (* 4 (/ 1 alpha))))) |
(/ 2 alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 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 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(+ 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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(- (* 1/2 (/ alpha beta)) 1/2) |
(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
(- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/2 (/ alpha beta))) (+ 1/2 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) |
(* 1/2 (/ alpha beta)) |
(/ (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta)) (* 1/2 alpha)) beta) |
(/ (- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (* 1/2 alpha)) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta) |
(/ (- (+ (* -1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) (pow beta 3))) (* 1/2 alpha)) (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta)))) beta) |
(* beta (+ 2 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(+ 1 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha)))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 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 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
(* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) beta)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(* -1 (* beta (- (* -1 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta)) 2))) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(/ beta (+ 4 (* 2 beta))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ 4 (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #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 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.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 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(- 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 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #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 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.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 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ beta (+ 2 beta))) |
(*.f64 (/.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 (/ beta (+ 2 beta)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) |
(+ (* 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* 2 (+ 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(-.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha #s(literal -1/2 binary64)) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha #s(literal -1/2 binary64)) |
(/ alpha (+ 4 (* 2 beta))) |
(/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) |
(*.f64 (fma.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) |
(* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) |
(* alpha (+ (* alpha (- (* alpha (+ (* -8 (/ alpha (pow (+ 4 (* 2 beta)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) |
(/ (+ 2 beta) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) beta))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) alpha) #s(literal 1/4 binary64))) alpha) |
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(* 2 (+ 2 alpha)) |
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(+ (* 2 beta) (* 2 (+ 2 alpha))) |
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(* alpha (+ 2 (* 4 (/ 1 alpha)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) |
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(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
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(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 2 binary64) #s(literal 2 binary64)) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #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 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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(* -1/8 (pow beta 2)) |
(*.f64 (*.f64 beta beta) #s(literal -1/8 binary64)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
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(* -1/8 beta) |
(*.f64 #s(literal -1/8 binary64) beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
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(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
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(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
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(+ 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))))) |
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(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
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(+ 1/2 (+ (* -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))))) |
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(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
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(- (* 1/2 (/ alpha beta)) 1/2) |
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(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
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(* 1/2 (/ alpha beta)) |
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(/ (- (+ (* -1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) (pow beta 3))) (* 1/2 alpha)) (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta)))) beta) |
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(* beta (+ 2 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta))) |
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(/ beta alpha) |
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(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) alpha) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal 1/8 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (neg.f64 beta)))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha))) beta)) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64))) beta)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 3 binary64)) beta) #s(literal -1/16 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) beta) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64))) beta)) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -2 binary64) #s(literal -2 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #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 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) 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 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) 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 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)))) beta)) |
(+ 1/2 (* -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 1/2 binary64) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -2 binary64) #s(literal -2 binary64))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(fma.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) alpha)) beta) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (/.f64 (fma.f64 (*.f64 alpha (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha))) (neg.f64 beta))) (neg.f64 beta)) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) |
(/.f64 (fma.f64 (*.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) alpha)) (neg.f64 beta)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (/.f64 (fma.f64 (*.f64 alpha (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha))) (neg.f64 beta))) (neg.f64 beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* alpha (pow (+ 4 (* 2 alpha)) 3)) beta)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 3 binary64)) beta)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha))) (neg.f64 beta)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha) #s(literal 1/4 binary64))) (neg.f64 beta))) (neg.f64 beta)) |
(* -1 (* beta (- (* -1 (/ (* alpha (+ 2 (* 4 (/ 1 alpha)))) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (neg.f64 alpha) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 267 |
| 0 | 67 | 267 |
| 1 | 328 | 254 |
| 0 | 2932 | 250 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) |
(-.f64 beta alpha) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 beta (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) (/.f64 (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
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(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha beta)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(-.f64 beta alpha) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 alpha) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 alpha (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64))) |
(*.f64 (/.f64 alpha (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(neg.f64 (/.f64 (neg.f64 alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 alpha (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(*.f64 (*.f64 alpha (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) alpha)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(*.f64 alpha (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) alpha) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) alpha) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 4 binary64)))) |
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 alpha (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) alpha (*.f64 #s(literal 2 binary64) alpha)) |
(fma.f64 #s(literal 2 binary64) alpha (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) alpha)) |
(fma.f64 alpha (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) (*.f64 alpha #s(literal 2 binary64))) |
(fma.f64 alpha #s(literal 2 binary64) (*.f64 alpha (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) alpha) (*.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (*.f64 alpha (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64))) (*.f64 alpha #s(literal 2 binary64))) |
(+.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 alpha (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 alpha beta)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (*.f64 (-.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) alpha)) |
(/.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (neg.f64 alpha)) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(neg.f64 (/.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) alpha)) |
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) |
Compiled 18 788 to 2 347 computations (87.5% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 8 | 509 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 508 | 18 | 526 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.0% | (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
| ✓ | 75.7% | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
| ▶ | 29.5% | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
| 74.7% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) | |
| 25.5% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 #s(approx (/ (+ 2 beta) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) | |
| ▶ | 3.7% | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 72.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 50.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 29.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) | |
| ▶ | 32.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| ✓ | 44.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| 44.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) | |
| 46.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 49.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 25.4% | #s(approx (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (neg.f64 beta) (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (*.f64 beta beta))) #s(literal 8 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 beta beta) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (pow.f64 beta #s(literal 3 binary64))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) #s(literal 1/2 binary64))) alpha))) alpha))) | |
| 28.4% | #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)) |
Compiled 1 048 to 621 computations (40.7% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 beta alpha) | |
| cost-diff | 0 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) alpha) | |
| cost-diff | 0 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 alpha beta) | |
| cost-diff | 0 | #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| cost-diff | 0 | #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 1 | (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 5 | (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 278 |
| 0 | 69 | 272 |
| 1 | 128 | 268 |
| 2 | 346 | 259 |
| 3 | 1806 | 259 |
| 4 | 7544 | 259 |
| 0 | 8177 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(literal 2 binary64) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
beta |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
alpha |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal -1/4 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (+.f64 (+.f64 alpha beta) beta) alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
#s(literal 2 binary64) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (+.f64 alpha beta) #s(literal 8 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
#s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 #s(literal -1/4 binary64) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
beta |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
alpha |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64))) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 #s(literal -1/4 binary64) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal -1/4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) | |
| accuracy | 0.02734375 | (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 45.118388330395504 | #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) alpha) | |
| accuracy | 0.0234375 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 18.863802840293054 | (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 19.795271185653366 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 alpha beta) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) | |
| accuracy | 41.87796199148006 | #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) | |
| accuracy | 45.284762190544114 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| accuracy | 16.16553908345751 | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 45.18695545911088 | #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) | |
| accuracy | 0.26844758098623445 | (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) | |
| accuracy | 16.403038021679876 | (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
| 85.0ms | 38× | 2 | valid |
| 45.0ms | 174× | 0 | valid |
| 26.0ms | 44× | 1 | valid |
Compiled 246 to 44 computations (82.1% saved)
ival-div: 74.0ms (55.8% of total)adjust: 19.0ms (14.3% of total)ival-add: 17.0ms (12.8% of total)ival-mult: 15.0ms (11.3% of total)ival-sub: 6.0ms (4.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
| Outputs |
|---|
(* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) |
(+ (* -1 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta))))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* 2 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 3)))))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* alpha (+ (* -4 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 4))) (* 2 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 3)))))))) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* 2 (+ 4 (* 2 beta))) |
(+ (* 2 (+ 4 (* 2 beta))) (* 4 alpha)) |
(+ 4 (* 4 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 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 (/ 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 (+ 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/ alpha beta) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
2 |
(+ 2 alpha) |
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ alpha beta) |
-1/2 |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(/ (+ 4 (* 2 beta)) alpha) |
(* 1/4 (/ (+ 4 (* 4 beta)) alpha)) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (* 1/4 (+ 4 (* 4 beta)))) alpha) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (+ (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) (pow alpha 2))) (* 1/4 (+ 4 (* 4 beta))))) alpha) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (+ (* -1/32 (/ (* (pow (+ 4 (* 2 beta)) 3) (+ 4 (* 4 beta))) (pow alpha 3))) (+ (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) (pow alpha 2))) (* 1/4 (+ 4 (* 4 beta)))))) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* 4 alpha) |
(* alpha (+ 4 (* 2 (/ (+ 4 (* 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))))) 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 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* 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 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(* 1/2 (/ beta alpha)) |
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha) |
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/4 (/ (+ 4 (* 2 beta)) alpha)) |
(/ (- (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha) |
(/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta))))) alpha) |
(/ (- (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (* 1/4 (+ 4 (* 2 beta)))))) alpha) |
(* -1 (/ (+ (* -1/4 (+ 4 (* 4 beta))) (* 1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta)))) (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) alpha))) alpha)) (* -1/4 (+ 4 (* 4 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta)))) (* 1/32 (/ (* (pow (+ 4 (* 2 beta)) 3) (+ 4 (* 4 beta))) alpha))) alpha)) (* -1/8 (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))))) alpha)) (* -1/4 (+ 4 (* 4 beta)))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -2 (/ (+ 4 (* 2 beta)) alpha)) 4))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -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 (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (pow (+ 4 (* 2 beta)) 3))) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) |
(+ (* 1/2 (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))))) (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha))))) |
(+ (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) (* beta (+ (* -1 (/ (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (* 1/2 (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))))))) |
(+ (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) (* beta (+ (* 1/2 (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (* beta (+ (* -1 (/ (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))) (* 2 (/ (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2)))))))) |
(+ 4 (* 2 alpha)) |
(* 2 (+ 4 (* 2 alpha))) |
(+ (* 2 (+ 4 (* 2 alpha))) (* 4 beta)) |
(+ 4 (+ (* -2 alpha) (* 2 alpha))) |
(+ 4 (+ (* -2 alpha) (+ (* 2 alpha) (* 4 beta)))) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(* 1/2 (- 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 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(/ beta (+ 4 (* 2 alpha))) |
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(- (/ alpha (+ 4 (* 2 alpha))) 1/2) |
(- (+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(/ 4 alpha) |
(+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ 1 (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))) |
(+ 1 (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 2))) (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta)))) |
(+ 1 (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 2))) (+ (* 1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* 4 beta) |
(* beta (+ 4 (* 2 (/ (+ 4 (* 2 alpha)) beta)))) |
(* beta (+ 4 (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))) |
(+ 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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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 (* -1/2 (/ (+ 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 alpha) beta))) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(- (* 1/2 (/ alpha beta)) 1/2) |
(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
(- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/2 (/ alpha beta))) (+ 1/2 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) |
(* 2 (/ beta alpha)) |
(* beta (+ (* 2 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta))))) |
(+ 1 (* -1/2 (/ (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/4 (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -2 (/ (+ 4 (* 2 alpha)) beta)) 4))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) beta)) 4))) |
(+ 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 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha)))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | beta | @ | inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (+ (* 2 beta) 4) alpha)) |
| 4.0ms | alpha | @ | -inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (+ (* 2 beta) 4) alpha)) |
| 4.0ms | alpha | @ | inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (+ (* 2 beta) 4) alpha)) |
| 3.0ms | alpha | @ | 0 | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (+ (* 2 beta) 4) alpha)) |
| 3.0ms | beta | @ | -inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha) (- (/ beta (+ (* (+ beta alpha) 2) 4)) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2)) (/ beta (+ (* (+ beta alpha) 2) 4)) (+ (* (+ beta alpha) 2) 4) (+ beta alpha) (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (+ (* 2 beta) 4) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 995 | 5682 |
| 1 | 3412 | 5649 |
| 0 | 8628 | 5088 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) |
(+ (* -1 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta))))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* 2 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 3)))))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* alpha (+ (* -4 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 4))) (* 2 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 3)))))))) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* 2 (+ 4 (* 2 beta))) |
(+ (* 2 (+ 4 (* 2 beta))) (* 4 alpha)) |
(+ 4 (* 4 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 (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 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 (/ 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 (+ 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/ alpha beta) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
2 |
(+ 2 alpha) |
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ alpha beta) |
-1/2 |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(/ (+ 4 (* 2 beta)) alpha) |
(* 1/4 (/ (+ 4 (* 4 beta)) alpha)) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (* 1/4 (+ 4 (* 4 beta)))) alpha) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (+ (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) (pow alpha 2))) (* 1/4 (+ 4 (* 4 beta))))) alpha) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (+ (* -1/32 (/ (* (pow (+ 4 (* 2 beta)) 3) (+ 4 (* 4 beta))) (pow alpha 3))) (+ (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) (pow alpha 2))) (* 1/4 (+ 4 (* 4 beta)))))) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* 4 alpha) |
(* alpha (+ 4 (* 2 (/ (+ 4 (* 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))))) 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 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* 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 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(* 1/2 (/ beta alpha)) |
(/ (+ (* -1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)) (* 1/2 beta)) alpha) |
(/ (- (+ (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/2 beta)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/2 beta)) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/4 (/ (+ 4 (* 2 beta)) alpha)) |
(/ (- (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha) |
(/ (- (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta))))) alpha) |
(/ (- (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (* 1/4 (+ 4 (* 2 beta)))))) alpha) |
(* -1 (/ (+ (* -1/4 (+ 4 (* 4 beta))) (* 1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta)))) (* 1/16 (/ (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta))) alpha))) alpha)) (* -1/4 (+ 4 (* 4 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow (+ 4 (* 2 beta)) 2) (+ 4 (* 4 beta)))) (* 1/32 (/ (* (pow (+ 4 (* 2 beta)) 3) (+ 4 (* 4 beta))) alpha))) alpha)) (* -1/8 (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))))) alpha)) (* -1/4 (+ 4 (* 4 beta)))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -2 (/ (+ 4 (* 2 beta)) alpha)) 4))) |
(* -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)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -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)) 1/2) |
(* -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 (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1/2 beta) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2)))) alpha)) (* 1/4 (* beta (+ 4 (* 2 beta))))) alpha)) (* -1/2 beta)) alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (pow (+ 4 (* 2 beta)) 3))) alpha)) (* 1/8 (pow (+ 4 (* 2 beta)) 2))) alpha)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) |
(+ (* 1/2 (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))))) (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha))))) |
(+ (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) (* beta (+ (* -1 (/ (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (* 1/2 (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))))))) |
(+ (* 1/2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (+ 4 (* 2 alpha)))) (* beta (+ (* 1/2 (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (* beta (+ (* -1 (/ (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))) (* 2 (/ (* beta (- (* 4 (/ 1 (+ 4 (* 2 alpha)))) (* 2 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2)))))))) |
(+ 4 (* 2 alpha)) |
(* 2 (+ 4 (* 2 alpha))) |
(+ (* 2 (+ 4 (* 2 alpha))) (* 4 beta)) |
(+ 4 (+ (* -2 alpha) (* 2 alpha))) |
(+ 4 (+ (* -2 alpha) (+ (* 2 alpha) (* 4 beta)))) |
(+ 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)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 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 (/ 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))))))))) |
(* 1/2 (- 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 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(/ beta (+ 4 (* 2 alpha))) |
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
(- (/ alpha (+ 4 (* 2 alpha))) 1/2) |
(- (+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(- (+ (* beta (- (* beta (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 4))) (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
(/ 4 alpha) |
(+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ 1 (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))) |
(+ 1 (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 2))) (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta)))) |
(+ 1 (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 2))) (+ (* 1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* 4 beta) |
(* beta (+ 4 (* 2 (/ (+ 4 (* 2 alpha)) beta)))) |
(* beta (+ 4 (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))) |
(+ 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))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -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 (* -1/2 (/ (+ 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 alpha) beta))) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(- (* 1/2 (/ alpha beta)) 1/2) |
(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
(- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/2 (/ alpha beta))) (+ 1/2 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) |
(* 2 (/ beta alpha)) |
(* beta (+ (* 2 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta))))) |
(+ 1 (* -1/2 (/ (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/4 (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -2 (/ (+ 4 (* 2 alpha)) beta)) 4))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) beta)) 4))) |
(+ 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 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -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 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha)))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
| Outputs |
|---|
(* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ (* -1 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta))))) |
(fma.f64 (neg.f64 alpha) (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* 2 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* 1/2 (/ (+ 4 (* 4 beta)) (+ 4 (* 2 beta)))) (* alpha (+ (* -1 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 2))) (* alpha (+ (* -4 (/ (* alpha (+ 4 (* 4 beta))) (pow (+ 4 (* 2 beta)) 4))) (* 2 (/ (+ 4 (* 4 beta)) (pow (+ 4 (* 2 beta)) 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)))) alpha (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ 4 (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
(* 2 (+ 4 (* 2 beta))) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+ (* 2 (+ 4 (* 2 beta))) (* 4 alpha)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) alpha)) |
(+ 4 (* 4 beta)) |
(fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) #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 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha)) |
(+ 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 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha)) |
(* 1/2 (/ beta (+ 2 beta))) |
(*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 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 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(/ alpha beta) |
(/.f64 alpha beta) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(* 1/2 alpha) |
(*.f64 #s(literal 1/2 binary64) alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(-.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/2 binary64)) |
(/ beta (+ 4 (* 2 beta))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 2))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -8 (/ (* alpha beta) (pow (+ 4 (* 2 beta)) 4))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
-1/2 |
#s(literal -1/2 binary64) |
(- (/ alpha (+ 4 (* 2 beta))) 1/2) |
(-.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(- (* alpha (+ (* -2 (/ alpha (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha #s(literal -1/2 binary64)) |
(- (* alpha (+ (* alpha (- (* 4 (/ alpha (pow (+ 4 (* 2 beta)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))))) (/ 1 (+ 4 (* 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha #s(literal -1/2 binary64)) |
(/ (+ 4 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
(* 1/4 (/ (+ 4 (* 4 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 1/4 binary64)) |
(/ (+ (* -1/8 (/ (* (+ 4 (* 2 beta)) (+ 4 (* 4 beta))) alpha)) (* 1/4 (+ 4 (* 4 beta)))) alpha) |
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(* -1/2 (/ alpha (+ 2 alpha))) |
(*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
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(+ (* -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))))))))) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(* -1 (/ (+ 1 alpha) beta)) |
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(/ (- beta (+ 1 alpha)) beta) |
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(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
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(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
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(/ beta (+ 4 (* 2 alpha))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) |
(* beta (+ (* -2 (/ beta (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha))))) |
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(* beta (+ (* beta (- (* 4 (/ beta (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
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(* beta (+ (* beta (- (* beta (+ (* -8 (/ beta (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))) |
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(- (/ alpha (+ 4 (* 2 alpha))) 1/2) |
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(- (+ (* -2 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 2))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
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(- (+ (* beta (- (* 4 (/ (* alpha beta) (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (/ alpha (+ 4 (* 2 alpha)))) 1/2) |
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(/ 4 alpha) |
(/.f64 #s(literal 4 binary64) alpha) |
(+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
(+ 1 (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))) |
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(+ 1 (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 2))) (+ (* 1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha)))) (pow beta 3))) (* 1/2 (/ (- (* 1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (+ 4 (* 2 alpha))) beta))))) |
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(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
(* 4 beta) |
(*.f64 #s(literal 4 binary64) beta) |
(* beta (+ 4 (* 2 (/ (+ 4 (* 2 alpha)) beta)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 2 binary64) #s(literal 4 binary64)) beta) |
(* beta (+ 4 (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) beta) #s(literal -4 binary64)) beta) |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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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 (* -1 (/ (+ 1 alpha) beta))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha)) beta) #s(literal -1 binary64))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha)) beta))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha)) beta)))) |
(+ 1/2 (* -1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* 1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2)))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 1/4 binary64))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta)))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 3 binary64)) #s(literal -1/16 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) beta) #s(literal -1/4 binary64)))) |
(* beta (+ 1 (/ alpha beta))) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal -1 binary64)) beta) |
(- (* 1/2 (/ alpha beta)) 1/2) |
(fma.f64 (/.f64 alpha beta) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) beta) (*.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) (fma.f64 (/.f64 alpha beta) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(- (+ (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/2 (/ alpha beta))) (+ 1/2 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1/8 binary64) (-.f64 (*.f64 (/.f64 alpha beta) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 1/2 binary64)))) |
(* 2 (/ beta alpha)) |
(*.f64 (/.f64 beta alpha) #s(literal 2 binary64)) |
(* beta (+ (* 2 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) alpha)) beta) |
(+ 1 (* -1/2 (/ (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/4 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) beta)) #s(literal -1/4 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) #s(literal 1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))) beta)) (* 1/4 (* (+ 4 (* 2 alpha)) (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha))))))) beta)) (* 1/2 (- (* -1/2 (+ 4 (+ (* -2 alpha) (* 2 alpha)))) (* -1 (+ 4 (* 2 alpha)))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) beta)) #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))))) (neg.f64 beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) beta) #s(literal 2 binary64))) |
(* -1 (* beta (- (* -2 (/ (+ 4 (* 2 alpha)) beta)) 4))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64) #s(literal -4 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (+ (* -2 alpha) (* 2 alpha))) beta)) 4))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) beta) #s(literal -1 binary64) #s(literal -4 binary64))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 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))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -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))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(+ 1 (* -1 (/ (- (* 1/4 (+ 4 (* 2 alpha))) (* -1/2 alpha)) beta))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha)) beta) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha) #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (pow (+ 4 (* 2 alpha)) 3)) (* 1/8 (* alpha (pow (+ 4 (* 2 alpha)) 2)))) beta)) (+ (* 1/8 (pow (+ 4 (* 2 alpha)) 2)) (* 1/4 (* alpha (+ 4 (* 2 alpha)))))) beta)) (* 1/4 (+ 4 (* 2 alpha)))) (* -1/2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal 1/8 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) beta) #s(literal -1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha) #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64))) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ 4 (* 2 alpha)) 3) beta)) (* -1/8 (pow (+ 4 (* 2 alpha)) 2))) beta)) (* -1/4 (+ 4 (* 2 alpha)))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 3 binary64)) beta) #s(literal -1/16 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) beta) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 1/4 binary64))) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) beta))) beta)) 1/2) |
(fma.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) alpha)) beta) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) beta)) (* 1/4 (* alpha (+ 4 (* 2 alpha))))) beta)) (* -1/2 alpha)) beta)) 1/2) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (/.f64 (fma.f64 (*.f64 alpha (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha))) (neg.f64 beta))) (neg.f64 beta)) #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 235 |
| 0 | 69 | 229 |
| 1 | 325 | 217 |
| 0 | 2714 | 217 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
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(fma.f64 alpha #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(fma.f64 alpha #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64)))) |
(-.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) |
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(+.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(+.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
#s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha))) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 4 binary64) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 4 binary64) alpha))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) beta) alpha (*.f64 alpha #s(literal 4 binary64))) (*.f64 alpha alpha)) |
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64)) alpha)) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64)))) alpha)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (neg.f64 alpha)) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (neg.f64 alpha))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)) |
(fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha)) |
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha)) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) alpha) (/.f64 #s(literal 4 binary64) alpha)) |
Compiled 19 446 to 2 196 computations (88.7% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 8 | 509 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 507 | 20 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) | |
| 29.5% | (-.f64 (/.f64 beta (fma.f64 #s(approx (+ beta alpha) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal -1 binary64)) beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) | |
| 74.7% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) | |
| ✓ | 3.7% | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 72.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 50.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) | |
| 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 29.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) | |
| ✓ | 32.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| ✓ | 44.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| 46.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 49.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| 48.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 47.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| 21.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 23.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) | |
| ✓ | 37.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 25.4% | #s(approx (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (neg.f64 beta) (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (*.f64 beta beta))) #s(literal 8 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 beta beta) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (pow.f64 beta #s(literal 3 binary64))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) #s(literal 1/2 binary64))) alpha))) alpha))) | |
| 69.0% | #s(approx (/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (/.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) |
Compiled 1 962 to 723 computations (63.1% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #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) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (/.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.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) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 #s(approx (/ (+ 2 beta) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(-.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) alpha)) #s(literal -1/2 binary64) (*.f64 (-.f64 beta (neg.f64 (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) alpha)) |
(-.f64 (/.f64 beta (fma.f64 #s(approx (+ beta alpha) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal -1 binary64)) beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(approx (- (/ alpha (+ (* (+ beta alpha) 2) 4)) 1/2) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.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) (/.f64 (fma.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (* (/ (- beta alpha) (+ 8 (pow (+ alpha beta) 3))) (+ (* 2 (- 2 (+ alpha beta))) (pow (+ alpha beta) 2))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (neg.f64 beta) (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (*.f64 beta beta))) #s(literal 8 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 beta beta) #s(literal -3 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (pow.f64 beta #s(literal 3 binary64))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal 2 binary64)) beta (*.f64 beta beta)))) (fma.f64 #s(literal -2 binary64) (*.f64 beta beta) (fma.f64 (neg.f64 (*.f64 #s(literal 3 binary64) beta)) (-.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) beta)) (neg.f64 (*.f64 beta beta))))) #s(literal 1/2 binary64))) alpha))) alpha))) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha)) alpha)) #s(literal 2 binary64)) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
5 calls:
| 12.0ms | alpha |
| 11.0ms | beta |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.6% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.6% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.6% | 1 | alpha |
| 99.6% | 1 | beta |
Compiled 35 to 30 computations (14.3% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #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) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (/.f64 (*.f64 (fma.f64 alpha #s(literal 0 binary64) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha 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)) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
5 calls:
| 6.0ms | beta |
| 6.0ms | alpha |
| 6.0ms | (/.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 |
|---|---|---|
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 95.9% | 2 | alpha |
| 92.7% | 2 | beta |
Compiled 35 to 30 computations (14.3% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #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) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) 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) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
3 calls:
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.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 |
|---|---|---|
| 98.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 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) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
3 calls:
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
| 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 (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
3 calls:
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.8% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) 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 (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.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 |
|---|---|---|
| 97.7% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.7% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
5 calls:
| 4.0ms | beta |
| 4.0ms | 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 |
|---|---|---|
| 74.6% | 3 | beta |
| 68.5% | 2 | alpha |
| 91.1% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 91.1% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.1% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 35 to 30 computations (14.3% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #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 |
|---|---|---|
| 90.9% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #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 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 |
|---|---|---|
| 90.8% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.8% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) (*.f64 #s(literal -1/8 binary64) beta)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 2.0ms | (/.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 |
|---|---|---|
| 90.7% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.7% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 17.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | beta |
| 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 |
|---|---|---|
| 71.7% | 2 | beta |
| 71.6% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 71.6% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 71.6% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 34 to 28 computations (17.6% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 71.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 71.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 71.3% | 2 | beta |
Compiled 34 to 28 computations (17.6% 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 | beta |
| 1.0ms | alpha |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.1% | 1 | alpha |
| 37.1% | 1 | beta |
| 37.1% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 37.1% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 37.1% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 35 to 30 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.048683693331668e-12 | 1.1936694299663486e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 1.1936694299663486e-8 | 3.2656673099484834e-5 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000025264304855 | 0.9983512317457026 |
| 0.0ms | 0.0003905309868939 | 0.47843273759982824 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0495549430452025 | 2.77141310491121 |
| 22.0ms | 10× | 1 | valid |
| 3.0ms | 58× | 0 | valid |
| 3.0ms | 12× | 2 | valid |
Compiled 231 to 190 computations (17.7% saved)
ival-add: 22.0ms (85.2% of total)adjust: 2.0ms (7.7% of total)ival-div: 1.0ms (3.9% of total)ival-sub: 1.0ms (3.9% 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 | 0.5000025264304855 | 0.9983512317457026 |
Compiled 16 to 15 computations (6.3% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 992 |
| 1 | 165 | 992 |
| 2 | 326 | 990 |
| 3 | 1076 | 990 |
| 4 | 7454 | 990 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 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 |
|---|
(/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (fma.f64 #s(literal 4 binary64) beta #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 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 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ alpha (+ 2 alpha)) -1/2) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1837 | 20402 |
| 1 | 6591 | 20088 |
| 0 | 8847 | 18745 |
| 0 | 38 | 265 |
| 0 | 62 | 205 |
| 1 | 302 | 191 |
| 0 | 2837 | 181 |
| 0 | 995 | 5682 |
| 1 | 3412 | 5649 |
| 0 | 8628 | 5088 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 86 | 44 |
| 0 | 703 | 44 |
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6757 | 1937 |
| 0 | 9039 | 1843 |
| 0 | 915 | 5207 |
| 1 | 3024 | 5073 |
| 0 | 8572 | 4588 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 994 to 118 computations (88.1% saved)
Compiled 2 014 to 256 computations (87.3% saved)
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