
Time bar (total: 6.4s)
| 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)
| 479.0ms | 6 008× | 0 | valid |
| 423.0ms | 1 439× | 1 | valid |
| 272.0ms | 809× | 2 | valid |
ival-div: 269.0ms (30.4% of total)adjust: 218.0ms (24.6% of total)ival-add: 182.0ms (20.6% of total)ival->: 100.0ms (11.3% of total)ival-sub: 85.0ms (9.6% of total)exact: 14.0ms (1.6% of total)ival-and: 12.0ms (1.4% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 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 | 70 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 70 | 0 |
| - | 0 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 70 | 0 | 0 |
| - | 0 | 1 | 185 |
| number | freq |
|---|---|
| 0 | 186 |
| 1 | 70 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 64× | 2 | valid |
| 23.0ms | 372× | 0 | valid |
| 12.0ms | 76× | 1 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-add: 10.0ms (30.1% of total)adjust: 9.0ms (27.1% of total)ival-div: 9.0ms (27.1% of total)ival-sub: 4.0ms (12.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 74.2% | (/.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 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 16.520612362111677 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 12.0ms | 186× | 0 | valid |
| 8.0ms | 32× | 2 | valid |
| 6.0ms | 38× | 1 | valid |
Compiled 50 to 12 computations (76% saved)
adjust: 5.0ms (30% of total)ival-add: 5.0ms (30% of total)ival-div: 4.0ms (24% of total)ival-sub: 2.0ms (12% 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 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| 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)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ 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 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ 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 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 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) (+ (+ alpha beta) 2)) |
| 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) (+ (+ alpha beta) 2)) |
| 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) (+ (+ alpha beta) 2)) |
| 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) (+ (+ alpha beta) 2)) |
| 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) (+ (+ alpha beta) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6749 | 1937 |
| 0 | 9029 | 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)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ 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 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ 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 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ 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 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 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) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.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 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) 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 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (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)) |
(* 1/2 (- 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 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) 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 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -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))) |
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 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| 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 (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) |
(/.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))) |
Compiled 4 933 to 845 computations (82.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 155 | 9 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 156 | 9 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| 44.0% | (/.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))) | |
| ▶ | 74.2% | (/.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))))) |
| 74.2% | (/.f64 (+.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))))) #s(literal 2 binary64)) | |
| ▶ | 74.2% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 72.3% | #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))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| ▶ | 32.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
| ▶ | 47.3% | #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))) |
| ▶ | 39.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 538 to 268 computations (50.2% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.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 #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 | 10 | (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)))) | |
| cost-diff | 0 | (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #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))) | |
| 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 | #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 | 37 | 336 |
| 0 | 57 | 336 |
| 1 | 111 | 328 |
| 2 | 320 | 306 |
| 3 | 1584 | 306 |
| 4 | 5903 | 306 |
| 0 | 8254 | 290 |
| 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) (-.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 |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(-.f64 alpha #s(literal -2 binary64)) |
#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 (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)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 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 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 #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 1/4 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) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 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)) |
(/.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) (-.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 |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(-.f64 alpha #s(literal -2 binary64)) |
#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 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) |
(+.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)) |
(+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 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 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)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal -1/4 binary64)) #s(literal 1/4 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))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/4 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 #s(literal 1/4 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha)) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04753876953688403 | (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.08203125 | (/.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))))) | |
| accuracy | 16.503040665337625 | (+.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)) | |
| accuracy | 18.37884148724363 | (-.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))) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) | |
| accuracy | 19.965152978079363 | #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))) | |
| accuracy | 20.729276639866427 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) alpha) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| accuracy | 43.38314860439834 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| accuracy | 38.64095859996562 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.0 | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) | |
| accuracy | 16.516508866273917 | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 109.0ms | 86× | 1 | valid |
| 61.0ms | 63× | 2 | valid |
| 22.0ms | 107× | 0 | valid |
Compiled 320 to 35 computations (89.1% saved)
adjust: 80.0ms (49.4% of total)ival-mult: 25.0ms (15.4% of total)ival-add: 20.0ms (12.3% of total)ival-div: 15.0ms (9.3% of total)ival-pow: 11.0ms (6.8% of total)ival-sub: 10.0ms (6.2% of total)exact: 1.0ms (0.6% 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) (-.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) |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 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 #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) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.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)) |
(/.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))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #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)))) |
(+ (* 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
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 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 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)))) |
(- (+ 1/4 (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 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)))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 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 (- (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
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(* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(* 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 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 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) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
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(* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* 1/8 (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* 1/8 (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)))))) (* 1/8 (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* 1/8 (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (* beta (+ (* 1/8 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 6))) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3))))) (pow (+ 2 alpha) 3))))))) (* 1/8 (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)))))))))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 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)))) |
(+ 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))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta))) (* 1/4 (/ (- (* -1 alpha) (+ 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 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(- (+ 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)))))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* -1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/ (- (* 1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))) beta) |
(/ (- (* 1/4 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 1/4 (- (* -1 alpha) (+ 2 alpha))) (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(+ 1/4 (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/4 (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/4 (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1/4 (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) |
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(+ 1/4 (+ (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) |
(- (+ 1 (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 1 (+ (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 2))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))) |
(- (+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 2))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* 4 (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))))))) (pow beta 3))) (+ (* 4 (/ (* (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 3))) (+ (* 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)))))) (* 1/4 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))))) |
1/8 |
(+ 1/8 (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) |
(+ 1/8 (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) |
(+ 1/8 (+ (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) |
(* -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))) |
(+ 1/4 (* -1 (/ (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 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 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/4 (* -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 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (/ (- (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (- (* -1 alpha) (+ 2 alpha))) (* 1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 1/4 (* 1/8 (/ (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 1/8 (/ (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))) beta))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))) beta))) beta)) (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* -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 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1/8 (* 1/8 (/ (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta))) |
(+ 1/8 (* -1 (/ (+ (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 1/8 (/ (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))) beta))) beta))) |
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))) beta))) beta)) (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | 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) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (+ 2 (+ alpha beta)) (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (/ (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)))) (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 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) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (+ 2 (+ alpha beta)) (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (/ (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)))) (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 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) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (+ 2 (+ alpha beta)) (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (/ (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)))) (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3)) |
| 11.0ms | 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) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (+ 2 (+ alpha beta)) (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (/ (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)))) (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 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) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)) (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (+ 2 (+ alpha beta)) (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (/ (+ (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3) 1/8) (+ (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2))) (- 1/4 (* (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2)))) (pow (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1451 | 20348 |
| 1 | 5017 | 20140 |
| 0 | 8060 | 18663 |
| 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
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 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 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)))) |
(- (+ 1/4 (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 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)))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 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 (- (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 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 (- (/ 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))))) (* 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))))) (* -1/4 (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- 1/4 (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 1/4 (* 1/4 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 1/4 (* alpha (- (* -1/4 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(- (+ 1/4 (* alpha (- (* alpha (- (* 1/4 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(* 1/4 (/ beta (+ 2 beta))) |
(+ (* -1/4 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/4 (/ beta (+ 2 beta)))) |
(+ (* 1/4 (/ beta (+ 2 beta))) (* alpha (+ (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/4 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(+ (* 1/4 (/ beta (+ 2 beta))) (* alpha (+ (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/4 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
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(* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(* 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) |
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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) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 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) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(- 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))))) |
3/4 |
(- (+ 3/4 (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))) |
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(- (+ 3/4 (+ (* -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)))))) (+ (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/4 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))))) |
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-1/4 |
(- (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/4) |
(- (+ (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/4) |
(- (+ (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/4 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/4) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* 1/8 (/ (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))) alpha)) |
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(* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* 1/8 (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* 1/8 (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)))))) (* 1/8 (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))))) |
(+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* 1/8 (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (* beta (+ (* 1/8 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 6))) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3))))) (pow (+ 2 alpha) 3))))))) (* 1/8 (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)))))))))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 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)))) |
(+ 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))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta))) (* 1/4 (/ (- (* -1 alpha) (+ 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 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(- (+ 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)))))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* -1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/ (- (* 1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))) beta) |
(/ (- (* 1/4 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 1/4 (- (* -1 alpha) (+ 2 alpha))) (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(+ 1/4 (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/4 (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/4 (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1/4 (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) |
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(+ 1/4 (+ (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) |
(- (+ 1 (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 1 (+ (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 2))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))) |
(- (+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/2 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/2 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 2))) (+ (* 4 (/ (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* 4 (* (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))))))) (pow beta 3))) (+ (* 4 (/ (* (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (- (* 1/2 (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (* 4 (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha))))))) (pow beta 3))) (+ (* 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)))))) (* 1/4 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 3))) (+ (* 4 (/ (- (* 1/4 (- (* -2 alpha) (+ 4 (* 2 alpha)))) (* 1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) (* 4 (/ (- (* 1/4 (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))))) |
1/8 |
(+ 1/8 (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta))) |
(+ 1/8 (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) |
(+ 1/8 (+ (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 3)))) (pow beta 3))) (+ (* 1/8 (/ (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha)))) beta)) (* 1/8 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 alpha) (* -1 alpha)) (+ 6 (+ alpha (* 2 alpha))))) (pow (+ 2 alpha) 2)))) (pow beta 2)))))) |
(* -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))) |
(+ 1/4 (* -1 (/ (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 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 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/4 (* -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 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha))))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (/ (- (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta)) |
(+ 1/4 (* -1 (/ (+ (* -1/4 (- (* -1 alpha) (+ 2 alpha))) (* 1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 1/4 (* 1/8 (/ (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 1/8 (/ (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))) beta))) beta))) |
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))) beta))) beta)) (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* -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 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(+ 1/8 (* 1/8 (/ (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta))) |
(+ 1/8 (* -1 (/ (+ (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 1/8 (/ (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))) beta))) beta))) |
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))) beta))) beta)) (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta))) |
| 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 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))) |
beta |
(+ beta (* -1 alpha)) |
(fma.f64 #s(literal -1 binary64) alpha beta) |
(* 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) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
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 (* -1/2 alpha)) |
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 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) |
(- (+ 1/4 (* 1/4 (/ (pow beta 2) (pow (+ 2 beta) 2)))) (* 1/4 (/ beta (+ 2 beta)))) |
(+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))) |
(- (+ 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)))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.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)))))) alpha (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- (+ 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 (- (/ 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 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 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)))) (-.f64 beta #s(literal -2 binary64))))) alpha (*.f64 #s(literal 1/4 binary64) (+.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))))))) alpha (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- (+ 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 (- (/ 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))))) (* 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))))) (* -1/4 (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 beta beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.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)))))) alpha (*.f64 #s(literal -1/4 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)))) (-.f64 beta #s(literal -2 binary64)))))) alpha (*.f64 #s(literal 1/4 binary64) (+.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))))))) alpha (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- 1/4 (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- (+ 1/4 (* 1/4 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/4 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)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- (+ 1/4 (* alpha (- (* -1/4 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (-.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)))) (+.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)))))) alpha #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(- (+ 1/4 (* alpha (- (* alpha (- (* 1/4 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))) (* 1/4 (/ beta (+ 2 beta)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.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)))) 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))))) alpha (*.f64 #s(literal 1/4 binary64) (+.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)))))) alpha #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(* 1/4 (/ beta (+ 2 beta))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* -1/4 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/4 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -1/4 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)))))) |
(+ (* 1/4 (/ beta (+ 2 beta))) (* alpha (+ (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/4 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.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)))) (*.f64 #s(literal -1/4 binary64) (+.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)))))) alpha (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(+ (* 1/4 (/ beta (+ 2 beta))) (* alpha (+ (* -1/4 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/4 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/4 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 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)))) (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -1/4 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)))))) alpha (*.f64 #s(literal -1/4 binary64) (+.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)))))) alpha (*.f64 #s(literal 1/4 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) |
(+ 1/8 (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
(fma.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (+ (* 1/8 (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))))) |
(fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 6 binary64))))) alpha (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(+ 1/8 (+ (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) (* alpha (+ (* 1/8 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6)))))) (* 1/8 (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))))))) |
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(+ 1/8 (+ (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) (* alpha (+ (* 1/8 (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (* alpha (+ (* -1/8 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 6))))))) (* 1/8 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))))))))) |
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(* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) |
(*.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(+ (* 1/8 (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
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(+ (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) (* alpha (+ (* 1/8 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6)))))) (* 1/8 (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))))) |
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(+ (* 1/8 (/ (pow beta 3) (pow (+ 2 beta) 3))) (* alpha (+ (* 1/8 (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (* alpha (+ (* -1/8 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 6))))))) (* 1/8 (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6)))))))))) |
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(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
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(/ (+ (* -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 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) 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) |
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-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(fma.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) 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 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) alpha)) (fma.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) 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) |
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(* -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) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) 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) |
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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 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)) alpha) |
(/ alpha beta) |
(/.f64 alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) alpha) |
alpha |
(* alpha (+ 1 (/ 1 alpha))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
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(/ 2 alpha) |
(/.f64 #s(literal 2 binary64) alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
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3/4 |
#s(literal 3/4 binary64) |
(- (+ 3/4 (* 1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal -2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) #s(literal 1/4 binary64) #s(literal 3/4 binary64)) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) alpha) #s(literal 1/4 binary64))) |
(- (+ 3/4 (+ (* 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 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)))) |
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(- (+ 3/4 (+ (* -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)))))) (+ (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/4 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))))) |
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(+ 1/2 (* -1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))) |
(fma.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) alpha) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* 1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha))) |
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(- (+ 1/2 (* -1/4 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3)))) (+ (* -1/4 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)))) |
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-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/4 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/4) |
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(*.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) alpha) |
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(/ (+ (* -1/8 (/ (+ (* (+ 6 (+ beta (* 2 beta))) (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* -1 (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 6 (+ beta (* 2 beta))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))))))) (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* -1 (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 6 (+ beta (* 2 beta))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))))))) (* (pow (+ 2 beta) 3) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (* 1/8 (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))) (+ (* 1/8 (/ (- (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* -1 (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 6 (+ beta (* 2 beta))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))))) alpha)) (* 1/8 (/ (- (pow beta 3) (+ (* -1 (pow (+ 2 beta) 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* -1 (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 6 (+ beta (* 2 beta))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))))))) (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))))))) (pow alpha 2)))))) alpha) |
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(* 1/6 (/ (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta))))) alpha)) |
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(/ (- (+ (* 1/6 (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))) (* 1/6 (/ (- (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (+ (* -1 (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 6 (+ beta (* 2 beta))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))))) alpha))) (* 2/9 (/ (* (- (* 1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* 1/4 (- beta (* -1 (+ 2 beta))))) (- (+ beta (* 2 beta)) (* -1 (+ 6 (+ beta (* 2 beta)))))) alpha))) alpha) |
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(- (* -1/8 (/ (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) 1/8) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) alpha) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) |
(- (* -1 (/ (+ (* -1/8 (/ (- (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* -1 (pow (+ 2 beta) 2))))) alpha)) (* 1/8 (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) alpha)) 1/8) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 beta beta) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal -1/8 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) #s(literal 1/8 binary64))) alpha) #s(literal -1 binary64) #s(literal -1/8 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* -1 (pow beta 3)) (+ (* -1 (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* -1 (pow (+ 2 beta) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) (pow (+ 2 beta) 3)))) alpha)) (* 1/8 (- (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* -1 (pow (+ 2 beta) 2))))))) alpha)) (* 1/8 (- (* -1 (+ beta (* 2 beta))) (+ 2 (+ beta (* 2 (+ 2 beta))))))) alpha)) 1/8) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64)) (fma.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 beta beta) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha) #s(literal -1/8 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 beta beta) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta)) (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64) beta) #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/8 binary64))) alpha))) alpha) #s(literal -1 binary64) #s(literal -1/8 binary64)) |
(* 2 (+ 2 alpha)) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+.f64 (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))))) beta (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)))) beta (-.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 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))))) beta (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)))) beta (-.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 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(- beta alpha) |
(-.f64 beta 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 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))))) |
(+ (* 1/2 (- 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) (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 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))))) beta (*.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) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)))) beta (-.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 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #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 (/ (+ 1 alpha) beta)) |
(neg.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/.f64 (-.f64 beta (-.f64 alpha #s(literal -1 binary64))) beta) |
(/ (+ 1 alpha) beta) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(- (+ 1/4 (* 1/4 (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* -1/4 (/ alpha (+ 2 alpha)))) |
(+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))))) |
(- (+ 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)))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(- (+ 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 (- (/ 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 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(- (+ 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 (- (/ 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))))) (* beta (- (* 1/4 (- (/ (* (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) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))))) (* 1/4 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(- 1/4 (* -1/4 (/ alpha (+ 2 alpha)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/4 binary64))) |
(- (+ 1/4 (* -1/4 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(- (+ 1/4 (* beta (- (* -1/4 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(- (+ 1/4 (* beta (- (* beta (- (* -1/4 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/4 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (* -1/4 (/ alpha (+ 2 alpha)))) |
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(* -1/4 (/ alpha (+ 2 alpha))) |
(*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/4 binary64)) |
(+ (* -1/4 (/ alpha (+ 2 alpha))) (* 1/4 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) beta) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/4 binary64))) |
(+ (* -1/4 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/4 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (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 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))))) beta (*.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/4 binary64))) |
(+ (* -1/4 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/4 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/4 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/4 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
(+ 1/8 (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))) |
(fma.f64 (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* 1/8 (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))))) |
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(+ 1/8 (+ (* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (+ (* 1/8 (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)))))) (* 1/8 (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))))))) |
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(* -1/8 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) |
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(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (* 2 (/ (+ 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)))) |
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(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
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1/4 |
#s(literal 1/4 binary64) |
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(- (+ 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 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
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(- (+ 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)))))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
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(* -1/4 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
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(/ (- (* 1/4 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* -1/4 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 1/4 (- (* -1 alpha) (+ 2 alpha))) (* 1/4 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(*.f64 (-.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64)) beta) |
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* -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 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))))))))) beta)) (* -1/2 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* 4 (* (- (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) (* 4 (- (* 1/4 (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) (* -1/4 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))))))) beta)) (* -1/2 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* 4 (- (* 1/4 (- (* 2 alpha) (* -2 (+ 2 alpha)))) (* -1/4 (- (* -1 alpha) (+ 2 alpha)))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (pow.f64 (neg.f64 alpha) #s(literal 3 binary64)) (fma.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 alpha alpha) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))))) (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha #s(literal -2 binary64))) #s(literal -2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 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binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha #s(literal -2 binary64))) #s(literal -2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (-.f64 alpha #s(literal -2 binary64)))))))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 alpha alpha) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha #s(literal -2 binary64))) #s(literal -2 binary64) (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) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))))))) beta) #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 alpha alpha) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64))) (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha #s(literal -2 binary64))) #s(literal -2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (-.f64 alpha #s(literal -2 binary64))))))))) beta) #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 1/4 binary64)))))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1/8 (* 1/8 (/ (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) beta) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1 (/ (+ (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (* 1/8 (/ (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 alpha alpha) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) beta) #s(literal 1/8 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) #s(literal -1/8 binary64))) beta) #s(literal -1 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2)))))) (* 1/8 (/ (- (* -1 (pow alpha 3)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (* -1 (pow (+ 2 alpha) 2))))))) (+ (* -1 (* (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) (pow (+ 2 alpha) 3)))) beta))) beta)) (* -1/8 (- (* -1 (+ alpha (* 2 alpha))) (+ 2 (+ alpha (* 2 (+ 2 alpha))))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) #s(literal -1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 alpha) #s(literal 3 binary64)) (fma.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 alpha alpha) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))))) beta) #s(literal 1/8 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 alpha alpha) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -3 binary64) alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal -1/8 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1/8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 282 |
| 0 | 57 | 232 |
| 1 | 277 | 226 |
| 0 | 2608 | 216 |
| 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) (-.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) |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 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 #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) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.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)) |
(/.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))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #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 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.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 #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 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (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))) |
(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 (+.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))) |
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) |
(+.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(+.f64 (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 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)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #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 2 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 (-.f64 (*.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 (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 (/.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 #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 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 #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 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 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.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 (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 (*.f64 (/.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 #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 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 (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 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))))) (neg.f64 (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 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.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 (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))) #s(literal 1/8 binary64))) (*.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))) (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 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (fma.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 (fma.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 (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 (-.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 (-.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 (-.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 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 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 #s(literal 1/512 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 6 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) (+.f64 (+.f64 beta alpha) #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 beta alpha) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64)) |
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(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (pow.f64 (-.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (pow.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) |
Compiled 74 448 to 4 319 computations (94.2% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 043 | 10 | 1 053 |
| Fresh | 1 | 3 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 048 | 14 | 1 062 |
| Status | Accuracy | Program |
|---|---|---|
| 73.8% | (/.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))) | |
| 44.0% | (/.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))) | |
| ▶ | 74.2% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| ▶ | 71.6% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| 3.9% | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| 72.3% | #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))) | |
| ▶ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 32.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) | |
| 45.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| ▶ | 25.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ▶ | 46.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 39.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 47.3% | #s(approx (+ (/ (- beta alpha) (* (+ 2 (+ 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))) |
Compiled 623 to 430 computations (31% saved)
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) alpha) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 209 |
| 0 | 49 | 209 |
| 1 | 85 | 203 |
| 2 | 168 | 203 |
| 3 | 519 | 203 |
| 4 | 2737 | 203 |
| 0 | 8357 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.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 (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(literal 1 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
beta |
alpha |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(+.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 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #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 alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
(+.f64 beta alpha) |
(+.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 (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(literal 1 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(-.f64 beta #s(literal -1 binary64)) |
#s(literal 1 binary64) |
beta |
alpha |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 beta alpha) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) | |
| accuracy | 16.516508866273917 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 17.715840030125825 | #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 45.03469772048659 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) alpha) | |
| accuracy | 19.965152978079363 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) | |
| accuracy | 40.70801513617657 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) | |
| accuracy | 19.965152978079363 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 22.287563161399746 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (-.f64 beta alpha) | |
| accuracy | 0.0 | (+.f64 beta alpha) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 16.516508866273917 | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| 66.0ms | 168× | 0 | valid |
| 36.0ms | 40× | 2 | valid |
| 21.0ms | 48× | 1 | valid |
Compiled 162 to 33 computations (79.6% saved)
ival-mult: 44.0ms (42.1% of total)ival-div: 22.0ms (21% of total)adjust: 17.0ms (16.3% of total)ival-add: 15.0ms (14.4% of total)ival-sub: 6.0ms (5.7% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.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 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+.f64 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))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 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)))))))))) |
1/2 |
(+ 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 alpha) |
(/ (+ 1 beta) 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)))))))) |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ alpha beta) |
(/ (+ (* 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 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 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 (* 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) |
(* 1/2 (/ (- 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) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
alpha |
(* alpha (+ 1 (/ 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 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 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 (/ (* (+ 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 (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(- 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)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta 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 alpha) (/ beta alpha)) |
1 |
(+ 1 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))))))))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 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 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 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)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 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))))) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 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 (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | alpha | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (- beta alpha) (+ (* (+ beta alpha) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ beta alpha)) |
| 3.0ms | alpha | @ | -inf | ((+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (- beta alpha) (+ (* (+ beta alpha) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ beta alpha)) |
| 3.0ms | alpha | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (- beta alpha) (+ (* (+ beta alpha) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ beta alpha)) |
| 2.0ms | beta | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (- beta alpha) (+ (* (+ beta alpha) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ beta alpha)) |
| 2.0ms | beta | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (- beta alpha) (+ (* (+ beta alpha) 2) 4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2) (+ beta alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 4251 |
| 1 | 2479 | 4078 |
| 0 | 8481 | 3685 |
| 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))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 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)))))))))) |
1/2 |
(+ 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 alpha) |
(/ (+ 1 beta) 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)))))))) |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ alpha beta) |
(/ (+ (* 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 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 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 (* 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) |
(* 1/2 (/ (- 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) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
alpha |
(* alpha (+ 1 (/ 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 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 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 (/ (* (+ 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 (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(- 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)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta 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 alpha) (/ beta alpha)) |
1 |
(+ 1 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))))))))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 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 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 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)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 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))))) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 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 (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| 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))) |
(+ (* -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 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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)))) alpha) (-.f64 beta #s(literal -2 binary64)))) (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))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (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)))) alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (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 #s(literal -2 binary64))))) 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))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ 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)) |
(* 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 #s(literal -1/2 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)))) alpha) (/.f64 beta (-.f64 beta #s(literal -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 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 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 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 (*.f64 (+.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)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 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))) |
1/2 |
#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 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(+ 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))))) |
(fma.f64 #s(literal -1/2 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)))) alpha) (/.f64 beta (-.f64 beta #s(literal -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 #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)))) (*.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)))))) alpha (fma.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)))) (* 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 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)))) 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))))) 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))) |
(* 1/2 (/ 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)))) |
(*.f64 #s(literal -1/2 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)))) alpha) (/.f64 beta (-.f64 beta #s(literal -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 (*.f64 #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)))) (*.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)))))) 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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.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)))) 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))))) 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))) |
(* 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)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(/ (+ (* 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) |
(/ (- (+ (* -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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (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)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) alpha) #s(literal 1/4 binary64)))) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (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))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 (*.f64 beta (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) alpha) #s(literal 1/4 binary64))))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) 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)) (/.f64 beta alpha))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(fma.f64 (/.f64 (*.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)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) 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)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 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) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (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)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (-.f64 beta #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (/.f64 (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)) alpha))))) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 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 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.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) |
(/ (+ (* -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 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (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)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (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)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) alpha) |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) 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 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #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) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal -1/2 binary64))) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) beta (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (neg.f64 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)) |
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(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (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 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))))) beta (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)))) beta (-.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 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) beta (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) beta) #s(literal 1/2 binary64) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (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 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))))) beta (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)))) beta (-.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 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) beta (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) |
(* 2 (+ 2 alpha)) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(-.f64 #s(literal 1 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 (* 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 (*.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 4 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 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 4 binary64)) (/.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)))) (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 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) beta)) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (*.f64 beta beta)) (/.f64 alpha beta)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta)))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 alpha beta) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (*.f64 beta 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)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* 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) |
(+ 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))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) (/.f64 (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 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (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) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta 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))) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
(* beta (+ 1 (/ 1 beta))) |
(-.f64 beta #s(literal -1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (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) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 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))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.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) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64))) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 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 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal 1/2 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 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.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)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) beta) #s(literal 1/4 binary64))) beta)) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal 1/2 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 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.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)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) beta) #s(literal 1/4 binary64))) beta)) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal -2 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 alpha #s(literal -2 binary64)) (/.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 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)) |
(+ 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 alpha #s(literal -2 binary64)) (/.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 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)) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) 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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 186 |
| 0 | 49 | 186 |
| 1 | 241 | 180 |
| 0 | 2093 | 180 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+.f64 beta alpha) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta 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 (/.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 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 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 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 beta 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 (fma.f64 (-.f64 beta 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 (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 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #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 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 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 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (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))) |
(fma.f64 (/.f64 (-.f64 beta 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)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 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)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta (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)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 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 #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 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 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)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 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 beta 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 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 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 (-.f64 (*.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (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))))) (+.f64 (/.f64 beta (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))))) |
(/.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 alpha (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 (/.f64 alpha (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))) (*.f64 (/.f64 beta (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))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 beta (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)) alpha)) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.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)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 beta (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)))) |
(*.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 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (-.f64 beta alpha)) |
(/.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 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha 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 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 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 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.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 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #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) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64))) (neg.f64 (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 (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 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 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))))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) |
(fma.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)))) |
(fma.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))) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 alpha #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 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 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) beta)) |
(+.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 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 alpha #s(literal 2 binary64)) (*.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 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 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 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 alpha beta) #s(literal 2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1/2 binary64)) (pow.f64 alpha #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64))) |
(pow.f64 alpha #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 alpha))) |
(/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) alpha) |
(neg.f64 (/.f64 #s(literal -1 binary64) alpha)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 alpha))) |
(exp.f64 (*.f64 (log.f64 alpha) #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 #s(literal -1 binary64) alpha (*.f64 (neg.f64 alpha) beta)) (*.f64 (neg.f64 alpha) alpha)) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 alpha beta)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha)) |
(/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) (neg.f64 alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) alpha)) |
(neg.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) (neg.f64 alpha))) |
(fma.f64 (pow.f64 alpha #s(literal -1/2 binary64)) (pow.f64 alpha #s(literal -1/2 binary64)) (/.f64 beta alpha)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)) |
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64))) |
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)) |
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 1 binary64) beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) |
(-.f64 beta #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 beta #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (*.f64 (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) (+.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (fma.f64 (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (*.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (*.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (*.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.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)) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) |
(-.f64 (/.f64 beta #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 alpha #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) |
#s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 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 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))) |
(+.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 (/.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 alpha beta) |
(+.f64 beta alpha) |
Compiled 10 940 to 1 469 computations (86.6% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 4 | 332 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 331 | 15 | 346 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.8% | (/.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))) |
| 44.0% | (/.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))) | |
| ✓ | 74.2% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| ✓ | 71.6% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| ▶ | 72.3% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| 47.3% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)) | |
| ▶ | 3.9% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ▶ | 32.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| ▶ | 8.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| 45.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| ✓ | 25.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ✓ | 46.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 39.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 560 to 383 computations (31.6% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 alpha) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) | |
| cost-diff | 0 | (/.f64 beta alpha) | |
| cost-diff | 0 | #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| cost-diff | 0 | #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 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 | 2 | (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 | 4 | (/.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 | 40 | 229 |
| 0 | 57 | 223 |
| 1 | 100 | 223 |
| 2 | 268 | 214 |
| 3 | 1211 | 212 |
| 0 | 8510 | 209 |
| 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) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
beta |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
beta |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 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))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal -4 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 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) beta alpha) alpha) #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) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
beta |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
beta |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) | |
| accuracy | 0.0078125 | (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) | |
| accuracy | 16.516508866273917 | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 32.57673272173947 | #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) | |
| accuracy | 22.32583722528294 | #s(approx (+ 1 alpha) #s(literal 1 binary64)) | |
| accuracy | 43.38314860439834 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) | |
| accuracy | 0.0 | (/.f64 beta alpha) | |
| accuracy | 40.19326877527658 | #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) | |
| accuracy | 45.03469772048659 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| accuracy | 16.516508866273917 | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 45.02949825519931 | #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.4917112674115782 | (/.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 | 16.99756060939007 | (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))) |
| 48.0ms | 186× | 0 | valid |
| 21.0ms | 32× | 2 | valid |
| 17.0ms | 38× | 1 | valid |
Compiled 197 to 34 computations (82.7% saved)
ival-add: 28.0ms (41.3% of total)ival-div: 14.0ms (20.6% of total)adjust: 12.0ms (17.7% of total)ival-mult: 9.0ms (13.3% of total)ival-sub: 4.0ms (5.9% of total)exact: 1.0ms (1.5% 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))) |
(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 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) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
| 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 (* 4 beta)) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* 2 (+ 4 (* 2 beta))) |
(+ (* 2 (+ 4 (* 2 beta))) (* 4 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))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 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 beta) alpha) |
(/ beta alpha) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 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)))) |
(/ (+ (* 1/4 (+ 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 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 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 beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ 1 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 (/ (- (* -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 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -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)))) |
(* 1/2 (/ (+ 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 alpha))) |
(+ 4 (+ (* -2 alpha) (+ (* 2 alpha) (* 4 beta)))) |
(+ 4 (* 2 alpha)) |
(* 2 (+ 4 (* 2 alpha))) |
(+ (* 2 (+ 4 (* 2 alpha))) (* 4 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)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 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 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(* 1/4 beta) |
(* beta (+ 1/4 (* -1/8 beta))) |
(* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))) |
(* beta (+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))) |
4 |
(+ 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))))) |
(* 4 beta) |
(* beta (+ 4 (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 4 (* 2 (/ (+ 4 (* 2 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 |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(+ 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)))))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(- 1/2 (/ 1 beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* beta (+ 2 (* 4 (/ 1 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) (* 2 alpha))) beta)) 4))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -2 (/ (+ 4 (* 2 alpha)) beta)) 4))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) 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))) |
(+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4)) |
| 3.0ms | beta | @ | inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4)) |
| 3.0ms | alpha | @ | -inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4)) |
| 3.0ms | alpha | @ | inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4)) |
| 3.0ms | beta | @ | -inf | ((/ (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 2)) (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (* (+ (* (+ beta alpha) 2) 4) 1) (* (+ (* (+ beta alpha) 2) 4) 2) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (+ (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/ beta (+ (* 2 beta) 4)) (+ (* 2 beta) 4)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 755 | 4026 |
| 1 | 2659 | 3976 |
| 0 | 8134 | 3500 |
| 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 (* 4 beta)) |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* 2 (+ 4 (* 2 beta))) |
(+ (* 2 (+ 4 (* 2 beta))) (* 4 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))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 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 beta) alpha) |
(/ beta alpha) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 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)))) |
(/ (+ (* 1/4 (+ 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 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 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 beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ 1 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 (/ (- (* -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 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -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)))) |
(* 1/2 (/ (+ 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 alpha))) |
(+ 4 (+ (* -2 alpha) (+ (* 2 alpha) (* 4 beta)))) |
(+ 4 (* 2 alpha)) |
(* 2 (+ 4 (* 2 alpha))) |
(+ (* 2 (+ 4 (* 2 alpha))) (* 4 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)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 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 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(* 1/4 beta) |
(* beta (+ 1/4 (* -1/8 beta))) |
(* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))) |
(* beta (+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8)))) |
4 |
(+ 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))))) |
(* 4 beta) |
(* beta (+ 4 (+ (* -2 (/ alpha beta)) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 4 (* 2 (/ (+ 4 (* 2 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 |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(+ 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)))))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(- 1/2 (/ 1 beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* beta (+ 2 (* 4 (/ 1 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) (* 2 alpha))) beta)) 4))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -2 (/ (+ 4 (* 2 alpha)) beta)) 4))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) 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))) |
(+ 1/2 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
| 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 (* 4 beta)) |
(fma.f64 #s(literal 4 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)) |
(+ 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))) |
(+ (* -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 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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)))) alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (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))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (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)))) alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (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)))) (fma.f64 #s(literal 2 binary64) beta #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)))) |
(* 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)))))))))) |
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4 |
#s(literal 4 binary64) |
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(* 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) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(-.f64 #s(literal 1 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 (* 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 #s(literal 1/4 binary64) beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha) 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 #s(literal 1/4 binary64) beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) alpha) 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 |
#s(literal 1/2 binary64) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) beta)) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (*.f64 beta 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 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 alpha beta) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (*.f64 beta 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 (* -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))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (*.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 (/ (- (* -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)))))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 beta beta))))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(- 1/2 (/ 1 beta)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* beta (+ 2 (* 4 (/ 1 beta)))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) 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) (* 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 (* 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 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 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 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal 1/2 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))) (neg.f64 beta)) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) beta) #s(literal 1/4 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 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) #s(literal 1/2 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))) (neg.f64 beta)) #s(literal -1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) beta) #s(literal 1/4 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 1/2 binary64)) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 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 beta))) beta))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 202 |
| 0 | 57 | 196 |
| 1 | 265 | 196 |
| 0 | 2170 | 196 |
| 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))) |
(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 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) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
| 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))) |
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(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 beta beta) #s(literal 4 binary64)) (*.f64 beta #s(literal 8 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64))))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 beta beta) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal -4 binary64)))) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -4 binary64)) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta)) |
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(+.f64 (+.f64 #s(literal 4 binary64) beta) beta) |
(+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 8 binary64)))))) |
(+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 beta #s(literal 4 binary64))) |
Compiled 11 559 to 1 420 computations (87.7% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 5 | 310 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 307 | 18 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| 36.7% | (/.f64 #s(approx (+ (* (- beta alpha) 2) (* (+ (* (+ beta alpha) 2) 4) 1)) (*.f64 #s(literal 4 binary64) beta)) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) | |
| ✓ | 74.2% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| ✓ | 71.6% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| ✓ | 72.3% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| 47.3% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)) | |
| 42.7% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal 1/8 binary64)) beta #s(literal 1/4 binary64)) beta))) #s(literal 1/2 binary64)) | |
| 41.8% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta))) #s(literal 1/2 binary64)) | |
| 42.9% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) | |
| ✓ | 3.9% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ✓ | 32.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| ✓ | 8.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| 45.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| ✓ | 25.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ✓ | 46.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 39.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 68.8% | #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 1 161 to 479 computations (58.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.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 alpha #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 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 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))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal 1/8 binary64)) beta #s(literal 1/4 binary64)) beta))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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)) |
#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)) (*.f64 #s(literal 4 binary64) beta)) (*.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 (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 (-.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 (+.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))))) #s(literal 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:
| 20.0ms | alpha |
| 8.0ms | beta |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 93.8% | 2 | alpha |
| 97.3% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.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 alpha #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 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 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))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal 1/8 binary64)) beta #s(literal 1/4 binary64)) beta))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
3 calls:
| 13.0ms | (/.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))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.7% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.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 alpha #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 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 alpha (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 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))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) beta) #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) (/.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:
| 11.0ms | (/.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 |
|---|---|---|
| 98.4% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.4% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.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 alpha #s(literal -2 binary64))) #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 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.0% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.0% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
4 calls:
| 26.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | beta |
| 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 |
|---|---|---|
| 72.3% | 2 | beta |
| 98.3% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.3% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.3% | 3 | (/.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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #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 (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #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 |
|---|---|---|
| 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
4 calls:
| 3.0ms | alpha |
| 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 |
|---|---|---|
| 68.0% | 2 | alpha |
| 93.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 93.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.6% | 3 | (/.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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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:
| 29.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 93.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.5% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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 (-.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 |
|---|---|---|
| 93.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 93.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.4% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.f64 #s(literal 1/4 binary64) beta))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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:
| 2.0ms | beta |
| 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 |
|---|---|---|
| 72.0% | 2 | beta |
| 71.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 71.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 71.8% | 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 (* (- 1 (/ alpha (- alpha -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)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -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))) |
| 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 |
|---|---|---|
| 71.6% | 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)) |
| 71.6% | 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:
| 19.0ms | beta |
| 1.0ms | alpha |
| 1.0ms | (/.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 |
|---|---|---|
| 39.6% | 1 | alpha |
| 39.6% | 1 | beta |
| 39.6% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 39.6% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 39.6% | 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 | 0.0 | 0.006411607680716858 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.006411607680716858 | 0.019115783702252587 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5315084062178477 | 0.9999999999948965 |
| 0.0ms | 0.019115783702252587 | 0.49925087153292497 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.23376775126676505 | 2.54479798764339 |
| 4.0ms | 65× | 0 | valid |
| 3.0ms | 19× | 1 | valid |
| 3.0ms | 12× | 2 | valid |
Compiled 256 to 207 computations (19.1% saved)
adjust: 2.0ms (31% of total)ival-div: 2.0ms (31% of total)ival-add: 2.0ms (31% of total)ival-sub: 1.0ms (15.5% 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 | 0.5315084062178477 | 0.9999999999948965 |
Compiled 16 to 15 computations (6.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 895 |
| 1 | 149 | 895 |
| 2 | 249 | 895 |
| 3 | 631 | 895 |
| 4 | 4357 | 895 |
| 1× | node limit |
| Inputs |
|---|
(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 0 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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 5764607523034235/288230376151711744 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 5764607523034235/576460752303423488 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 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 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 (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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 (* (- 1 (/ alpha (- alpha -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 |
|---|
(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 0 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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (fma.f64 #s(literal 2 binary64) beta #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 5764607523034235/288230376151711744 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 5764607523034235/576460752303423488 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 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 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 (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -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 #s(approx (+ 1 alpha) #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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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 (* (- 1 (/ alpha (- alpha -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 5764607523034235/288230376151711744 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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)) (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ beta alpha) 2) 4)) #s(approx (/ beta (+ (* 2 beta) 4)) (*.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 (* (- 1 (/ alpha (- alpha -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 | 37 | 282 |
| 0 | 57 | 232 |
| 1 | 277 | 226 |
| 0 | 2608 | 216 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 86 | 44 |
| 0 | 703 | 44 |
| 0 | 1451 | 20348 |
| 1 | 5017 | 20140 |
| 0 | 8060 | 18663 |
| 0 | 755 | 4026 |
| 1 | 2659 | 3976 |
| 0 | 8134 | 3500 |
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6749 | 1937 |
| 0 | 9029 | 1843 |
| 0 | 735 | 4251 |
| 1 | 2479 | 4078 |
| 0 | 8481 | 3685 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 895 to 112 computations (87.5% saved)
Compiled 1 816 to 244 computations (86.6% saved)
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