
Time bar (total: 7.8s)
| 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)
| 546.0ms | 6 123× | 0 | valid |
| 282.0ms | 1 375× | 1 | valid |
| 161.0ms | 758× | 2 | valid |
ival-add: 190.0ms (26.8% of total)ival-div: 182.0ms (25.7% of total)ival-sub: 124.0ms (17.5% of total)adjust: 108.0ms (15.2% of total)ival->: 78.0ms (11% of total)exact: 13.0ms (1.8% of total)ival-and: 10.0ms (1.4% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 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 | 58 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 0 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 0 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 198 |
| 1 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 78× | 1 | valid |
| 25.0ms | 398× | 0 | valid |
| 9.0ms | 36× | 2 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-add: 11.0ms (40.7% of total)ival-div: 8.0ms (29.6% of total)adjust: 4.0ms (14.8% of total)ival-sub: 3.0ms (11.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 71 |
| 1 | 73 | 67 |
| 2 | 167 | 67 |
| 3 | 440 | 65 |
| 4 | 1163 | 65 |
| 5 | 2800 | 65 |
| 6 | 5550 | 65 |
| 7 | 6406 | 65 |
| 8 | 6673 | 65 |
| 9 | 6796 | 65 |
| 10 | 6822 | 65 |
| 11 | 6822 | 65 |
| 12 | 6870 | 65 |
| 13 | 6969 | 65 |
| 14 | 6969 | 65 |
| 15 | 6969 | 65 |
| 16 | 7073 | 65 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 28 | 13 |
| 2 | 45 | 13 |
| 3 | 73 | 13 |
| 4 | 133 | 13 |
| 5 | 292 | 13 |
| 6 | 575 | 13 |
| 7 | 978 | 13 |
| 8 | 1693 | 13 |
| 9 | 2955 | 13 |
| 10 | 3280 | 13 |
| 11 | 3378 | 13 |
| 12 | 3432 | 13 |
| 13 | 3434 | 13 |
| 14 | 3434 | 13 |
| 15 | 3434 | 13 |
| 0 | 3434 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.9% | (/.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 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 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 73 | 48 |
| 4 | 133 | 48 |
| 5 | 292 | 48 |
| 6 | 575 | 48 |
| 7 | 978 | 48 |
| 8 | 1693 | 48 |
| 9 | 2955 | 48 |
| 10 | 3280 | 48 |
| 11 | 3378 | 48 |
| 12 | 3432 | 48 |
| 13 | 3434 | 48 |
| 14 | 3434 | 48 |
| 15 | 3434 | 48 |
| 0 | 3434 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.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 | 0.0234375 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 13.532484647737427 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 40.0ms | 199× | 0 | valid |
| 5.0ms | 39× | 1 | valid |
| 4.0ms | 18× | 2 | valid |
Compiled 50 to 12 computations (76% saved)
ival-div: 8.0ms (49.7% of total)ival-add: 4.0ms (24.9% of total)adjust: 2.0ms (12.4% of total)ival-sub: 2.0ms (12.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 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 | @ | 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 | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4609 | 1878 |
| 0 | 8705 | 1750 |
| 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 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 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 (/ 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 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 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 (/ 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 (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)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 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 (/ 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 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (+.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 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #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 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (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))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #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 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (/.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 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 #s(literal -1 binary64) (/.f64 alpha (-.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 (fma.f64 (-.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))) (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))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #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 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #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 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #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) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (/.f64 (neg.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)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) 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 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.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 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(* -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 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) 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 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.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) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (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 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #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))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
1 |
#s(literal 1 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))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) 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 (/ (- (* -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 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64)) |
(* 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 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta)) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) 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))) |
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) 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))) |
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 8667 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.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)) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))) |
(-.f64 (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (+.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 #s(literal 0 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (-.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (-.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (neg.f64 alpha) #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 beta (neg.f64 alpha))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (fma.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (-.f64 alpha beta)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.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 beta beta (fma.f64 alpha alpha (*.f64 (neg.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 alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (-.f64 alpha beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))) |
(/.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 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta) |
(fma.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(-.f64 beta (neg.f64 alpha)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(+.f64 alpha beta) |
(+.f64 beta (*.f64 #s(literal 1 binary64) alpha)) |
(+.f64 beta alpha) |
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.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))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.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))) (/.f64 #s(literal 1 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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.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 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 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 (-.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) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.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 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.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 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 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))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal 2 binary64))) alpha) |
(fma.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha) |
(fma.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.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 16 463 to 2 397 computations (85.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 9 | 542 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 534 | 9 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.9% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 78.8% | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) | |
| ▶ | 35.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ▶ | 77.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 22.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 49.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| ▶ | 42.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 510 to 306 computations (40% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| cost-diff | 1 | (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) | |
| cost-diff | 3 | (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) | |
| cost-diff | 0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 2 | (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 330 |
| 0 | 66 | 330 |
| 1 | 132 | 330 |
| 2 | 272 | 325 |
| 3 | 831 | 317 |
| 4 | 3438 | 315 |
| 5 | 7961 | 315 |
| 0 | 8515 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
beta |
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal 2 binary64) |
alpha |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64)) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) alpha) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 beta #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) |
(*.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (fma.f64 (-.f64 beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) #s(literal -4 binary64))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 beta #s(literal -1 binary64))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
beta |
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal 2 binary64) |
alpha |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) beta) |
(-.f64 beta #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5134904487733815 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| accuracy | 1.4774180916873998 | (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) | |
| accuracy | 1.888012373292341 | (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) | |
| accuracy | 48.38704111435262 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| accuracy | 0.0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| accuracy | 41.364332600316075 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 14.712183043600875 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 36.72113746313233 | #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 alpha beta) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| accuracy | 13.531212936296033 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 64.0ms | 199× | 0 | valid |
| 42.0ms | 39× | 1 | valid |
| 13.0ms | 18× | 2 | valid |
Compiled 298 to 41 computations (86.2% saved)
ival-add: 32.0ms (34.4% of total)ival-div: 15.0ms (16.1% of total)ival-mult: 15.0ms (16.1% of total)ival-pow2: 13.0ms (14% of total)ival-sub: 9.0ms (9.7% of total)adjust: 7.0ms (7.5% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 alpha beta) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(+.f64 alpha beta) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(* -1 beta) |
(- alpha beta) |
(* -1 (+ 2 beta)) |
(- (* -1 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
beta |
(+ alpha beta) |
(/ (pow (+ 2 beta) 2) alpha) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 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))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(* (+ 2 beta) (- (* -2 beta) 2)) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ alpha (* -1 beta)) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(+ 2 beta) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha))) |
(* 2 (- (* 4 (/ 1 alpha)) 2)) |
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(/ 4 alpha) |
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha))) |
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))) |
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2)))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3))))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3))))) |
(* beta (+ 1 (/ alpha beta))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2)))))) |
(* 2 (/ (pow beta 3) (pow alpha 2))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | beta | @ | inf | ((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 7.0ms | alpha | @ | 0 | ((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 6.0ms | beta | @ | -inf | ((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 6.0ms | alpha | @ | -inf | ((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 5.0ms | alpha | @ | inf | ((+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (+ alpha beta) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 951 | 5058 |
| 1 | 3061 | 4761 |
| 0 | 8746 | 4505 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(* -1 beta) |
(- alpha beta) |
(* -1 (+ 2 beta)) |
(- (* -1 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
beta |
(+ alpha beta) |
(/ (pow (+ 2 beta) 2) alpha) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 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))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(* (+ 2 beta) (- (* -2 beta) 2)) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ 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 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ alpha (* -1 beta)) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(+ 2 beta) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha))) |
(* 2 (- (* 4 (/ 1 alpha)) 2)) |
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2))) |
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2))) |
(/ 4 alpha) |
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha))) |
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))) |
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2)))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3))))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3))))) |
(* beta (+ 1 (/ alpha beta))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2)))))) |
(* 2 (/ (pow beta 3) (pow alpha 2))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(* -1 beta) |
(neg.f64 beta) |
(- alpha beta) |
(-.f64 alpha beta) |
(* -1 (+ 2 beta)) |
(-.f64 #s(literal -2 binary64) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 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 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (*.f64 alpha alpha)) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta alpha alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64))) |
beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ (pow (+ 2 beta) 2) alpha) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
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1/2 |
#s(literal 1/2 binary64) |
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1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
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(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
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(* beta (- (/ alpha beta) 1)) |
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
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(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (*.f64 beta alpha)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) alpha)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) alpha) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))) alpha) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) alpha)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 beta)) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 beta alpha)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) alpha))) (neg.f64 beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 260 |
| 0 | 66 | 260 |
| 1 | 350 | 260 |
| 2 | 3077 | 260 |
| 0 | 9868 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 alpha beta) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(+.f64 alpha beta) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) (-.f64 alpha beta)) |
(*.f64 (neg.f64 (-.f64 alpha beta)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(*.f64 (-.f64 alpha beta) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (neg.f64 alpha) (neg.f64 beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) (+.f64 beta alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 alpha beta))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(/.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) beta)) (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) |
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(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) beta alpha) |
(fma.f64 beta #s(literal 1 binary64) alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) |
(pow.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) |
(neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) alpha)) |
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha)) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64)) alpha) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) |
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64))) |
Compiled 30 650 to 3 728 computations (87.8% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 13 | 712 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 704 | 17 | 721 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 78.6% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) | |
| 49.1% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.6% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 78.8% | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
| 38.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| ✓ | 77.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 19.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) | |
| ▶ | 35.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
| 35.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| ▶ | 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ▶ | 43.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| ▶ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 42.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 929 to 608 computations (34.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (*.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)))) | |
| cost-diff | 6 | (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))) | |
| cost-diff | 8 | (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 574 |
| 0 | 85 | 572 |
| 1 | 159 | 562 |
| 2 | 358 | 531 |
| 3 | 1108 | 529 |
| 4 | 5089 | 513 |
| 0 | 8303 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
#s(literal 1 binary64) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
#s(literal 3 binary64) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
beta |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
alpha |
#s(literal 1/2 binary64) |
beta |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))) |
(-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) |
(pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
#s(literal 3 binary64) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 alpha beta) #s(literal 1 binary64)) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 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 (fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
beta |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) beta) |
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) |
(-.f64 (+.f64 #s(literal -1 binary64) beta) alpha) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
alpha |
#s(literal 1/2 binary64) |
beta |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) | |
| accuracy | 0.015625 | (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) | |
| accuracy | 41.364332600316075 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 14.712183043600875 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| accuracy | 24.3874243710434 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| accuracy | 14.712183043600875 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| accuracy | 25.241323357388506 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| accuracy | 14.712183043600875 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 21.38025899428161 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.06316376953688403 | (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) | |
| accuracy | 13.455484223590153 | (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))) |
| 72.0ms | 199× | 0 | valid |
| 71.0ms | 39× | 1 | valid |
| 38.0ms | 18× | 2 | valid |
Compiled 489 to 56 computations (88.5% saved)
ival-mult: 35.0ms (29.7% of total)ival-add: 31.0ms (26.3% of total)ival-div: 16.0ms (13.6% of total)adjust: 16.0ms (13.6% of total)ival-pow: 7.0ms (5.9% of total)ival-pow2: 7.0ms (5.9% of total)ival-sub: 4.0ms (3.4% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 #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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
| Outputs |
|---|
(pow (+ 1 (/ beta (+ 2 beta))) 2) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta)) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))) (* 1/2 (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))))) |
(+ (* -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)))))))))) |
(- beta 1) |
(- (+ beta (* -1 alpha)) 1) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ (- beta 1) beta) |
(pow (+ 1 (/ beta (+ 2 beta))) 3) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3)))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* alpha (- (+ (* -2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 5))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 4))) (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5)))))))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3))))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(/ (pow alpha 3) (pow (+ 2 beta) 3)) |
(* (pow alpha 3) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
(* (pow alpha 3) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
(* (pow alpha 3) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
3 |
(- 3 (* 6 (/ 1 alpha))) |
(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))) |
(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow (+ 2 beta) 2) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 3)))))))))))) |
2 |
(+ 2 (* -1 (/ (+ 6 (* 2 beta)) alpha))) |
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) |
(- (+ 2 (* -1 (/ (+ (* -1 (* beta (pow (+ 4 (* 2 beta)) 2))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))) |
(- (+ 1 (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 beta) (- (* -1 (* beta (+ 2 beta))) (* -2 (+ 2 beta)))) (pow alpha 3))))) |
(* 1/6 (/ (+ 6 (+ (* 2 beta) (* 4 beta))) alpha)) |
(/ (+ (* 1/6 (+ 6 (+ (* 2 beta) (* 4 beta)))) (* 1/2 (/ (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta))))) alpha))) alpha) |
(/ (+ (* 1/6 (+ 6 (+ (* 2 beta) (* 4 beta)))) (+ (* 1/2 (/ (- (* 1/3 (+ (* -4 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (+ (* 2 (* beta (pow (+ 2 beta) 2))) (+ (* beta (+ (* -2 (* beta (+ 2 beta))) (pow beta 2))) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)))))))) (+ (* -2 (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta)))))) (* 1/9 (* (+ 6 (+ (* 2 beta) (* 4 beta))) (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))))))) (pow alpha 2))) (* 1/2 (/ (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta))))) alpha)))) alpha) |
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1/2 |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(/ (pow alpha 3) (pow (+ 2 alpha) 3)) |
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-1/8 |
(- (* 1/16 beta) 1/8) |
4 |
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (* 2 (/ alpha beta)))) |
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(* 2 (/ alpha beta)) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (pow alpha 2) beta))) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (+ (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (pow alpha 2) beta)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 2))))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (+ (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (pow alpha 2) beta))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (+ (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 3)))))))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3))))) beta) |
(+ 1 (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta))) |
(+ 1 (+ (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)) (* 1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)) (+ (* 1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 2))) (* 1/2 (/ (- (* 1/4 (- (+ (* -8 (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3)))))) (pow alpha 3))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (* (pow alpha 2) (+ 4 (* 2 alpha))))))))) (pow beta 3)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* 1/16 (pow beta 3)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
8 |
(+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (* -4 (/ (+ 2 alpha) beta)))) |
(+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow beta 2))) (* 8 (/ (pow (+ 2 alpha) 2) (pow beta 2))))))) |
(- (+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (+ (* -8 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -1 (/ (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* 2 (/ (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3))) (pow beta 3))) (+ (* 2 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow beta 2))) (* 8 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))) (/ (pow alpha 3) (pow beta 3))) |
(- (+ 2 (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta))) (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta))) |
(- (+ 2 (+ (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta)) (* 1/4 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) (pow beta 2))))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) (pow beta 2)))))) |
(- (+ 2 (+ (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta)) (+ (* 1/4 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) (pow beta 2))) (* 1/4 (/ (- (+ (* -8 (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3)))))) (pow alpha 3)) (pow beta 3)))))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))))) (pow beta 3))) (+ (* 1/4 (/ (* (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 3))) (+ (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) (pow beta 2))))))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(/ (pow alpha 3) (pow beta 3)) |
(/ (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow alpha 3)) (pow beta 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))) (pow alpha 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow beta 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (pow alpha 3) (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (* (pow alpha 3) (pow (+ 2 alpha) 3)))) (pow beta 3))) (pow alpha 3)) (+ (* -1 (/ (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3)) |
(* 1/16 beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (* 4 (+ 2 alpha))) beta))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta))) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (pow alpha 2)) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) beta))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(+ 1 (* -1/2 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1))) |
(+ 8 (* -1 (/ (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))) beta))) |
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta))) |
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3))) beta)) (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | alpha | @ | -inf | ((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8)) |
| 34.0ms | alpha | @ | 0 | ((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8)) |
| 17.0ms | alpha | @ | inf | ((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8)) |
| 15.0ms | beta | @ | -inf | ((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8)) |
| 15.0ms | beta | @ | inf | ((+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))) (/ (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) beta) 1/2) (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (/ (- (pow (+ 1 (/ beta (+ 2 (+ alpha beta)))) 3) (pow (/ alpha (+ 2 (+ alpha beta))) 3)) (+ (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (+ 1 (/ beta (+ 2 (+ alpha beta))))) (+ (pow (/ alpha (+ 2 (+ alpha beta))) 2) (* (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 3) (+ (* 1/16 beta) -1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2003 | 22624 |
| 1 | 6989 | 22618 |
| 0 | 8060 | 21034 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (+ 1 (/ beta (+ 2 beta))) 2) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta)) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))) (* 1/2 (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))))) |
(+ (* -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)))))))))) |
(- beta 1) |
(- (+ beta (* -1 alpha)) 1) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ (- beta 1) beta) |
(pow (+ 1 (/ beta (+ 2 beta))) 3) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3)))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* alpha (- (+ (* -2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 5))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 4))) (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5)))))))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3))))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(/ (pow alpha 3) (pow (+ 2 beta) 3)) |
(* (pow alpha 3) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
(* (pow alpha 3) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
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3 |
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2 |
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1 |
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1/2 |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(/ (pow alpha 3) (pow (+ 2 alpha) 3)) |
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-1/8 |
(- (* 1/16 beta) 1/8) |
4 |
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (* 2 (/ alpha beta)))) |
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(* 2 (/ alpha beta)) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (pow alpha 2) beta))) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (+ (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (pow alpha 2) beta)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 2))))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (+ (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (pow alpha 2) beta))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (+ (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 3)))))))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)))) beta) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3))))) beta) |
(+ 1 (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta))) |
(+ 1 (+ (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)) (* 1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)) (+ (* 1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 2))) (* 1/2 (/ (- (* 1/4 (- (+ (* -8 (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3)))))) (pow alpha 3))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (* (pow alpha 2) (+ 4 (* 2 alpha))))))))) (pow beta 3)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* 1/16 (pow beta 3)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
8 |
(+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (* -4 (/ (+ 2 alpha) beta)))) |
(+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow beta 2))) (* 8 (/ (pow (+ 2 alpha) 2) (pow beta 2))))))) |
(- (+ 8 (+ (* -8 (/ (+ 2 alpha) beta)) (+ (* -8 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* -4 (/ (+ 2 alpha) beta)) (+ (* -1 (/ (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* 2 (/ (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3))) (pow beta 3))) (+ (* 2 (/ (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (pow beta 2))) (* 8 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))) (/ (pow alpha 3) (pow beta 3))) |
(- (+ 2 (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta))) (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta))) |
(- (+ 2 (+ (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta)) (* 1/4 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) (pow beta 2))))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha))))) (pow beta 2))) (+ (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) (pow beta 2)))))) |
(- (+ 2 (+ (* 1/4 (/ (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha))) beta)) (+ (* 1/4 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) (pow beta 2))) (* 1/4 (/ (- (+ (* -8 (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (+ (* -4 (pow (+ 2 alpha) 3)) (* -2 (pow (+ 2 alpha) 3)))))) (pow alpha 3)) (pow beta 3)))))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha))))) (pow beta 2))) (+ (* 1/4 (/ (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))))) (pow beta 3))) (+ (* 1/4 (/ (* (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 3))) (+ (* 1/2 (/ (+ (* -4 (+ 2 alpha)) (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -2 (pow (+ 2 alpha) 3)) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) (pow beta 2))))))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(/ (pow alpha 3) (pow beta 3)) |
(/ (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow alpha 3)) (pow beta 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))) (pow alpha 3)) (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta)) (pow beta 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (pow alpha 3) (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (* (pow alpha 3) (pow (+ 2 alpha) 3)))) (pow beta 3))) (pow alpha 3)) (+ (* -1 (/ (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3)) |
(* 1/16 beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (* 4 (+ 2 alpha))) beta))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta))) |
(+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* 2 (* alpha (+ 2 alpha)))) beta)) (* 4 (+ 2 alpha)))) beta))) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (pow alpha 2)) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) beta))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))) beta))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) beta))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
(+ 1 (* -1/2 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) beta)) (* 1/2 (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1))) |
(+ 8 (* -1 (/ (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))) beta))) |
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta))) |
(+ 8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3))) beta)) (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) beta)) (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
| Outputs |
|---|
(pow (+ 1 (/ beta (+ 2 beta))) 2) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+ (* alpha (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (+ (* alpha (- (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) |
(*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (* 2 (/ beta (pow (+ 2 beta) 5))))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(/ (* alpha (+ 1 (/ beta (+ 2 beta)))) (+ 2 beta)) |
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(* alpha (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 5))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 3)))) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))) (* 1/2 (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) alpha (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))))) alpha (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(- beta 1) |
(-.f64 beta #s(literal 1 binary64)) |
(- (+ beta (* -1 alpha)) 1) |
(-.f64 (fma.f64 #s(literal -1 binary64) alpha beta) #s(literal 1 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)) |
(/ (- beta 1) beta) |
(/.f64 (-.f64 beta #s(literal 1 binary64)) beta) |
(pow (+ 1 (/ beta (+ 2 beta))) 3) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3)))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(+ (* alpha (+ (* -2 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 2))) (* alpha (+ (* 2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (+ (* alpha (- (+ (* -2 (/ (* (pow beta 2) (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 5))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 4))) (* (+ 1 (/ beta (+ 2 beta))) (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 4))) (* -2 (/ (pow beta 2) (pow (+ 2 beta) 5)))))))) (/ 1 (pow (+ 2 beta) 3)))) (+ (* (+ 1 (/ beta (+ 2 beta))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ (* beta (pow (+ 1 (/ beta (+ 2 beta))) 2)) (pow (+ 2 beta) 3))))))))) (pow (+ 1 (/ beta (+ 2 beta))) 3)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 beta (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 beta (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha)) alpha (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 5)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 4))) (+ (* -1 (/ (* beta (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (* 4 (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (+ (* 2 (/ (pow beta 2) (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2))))) (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))))) (+ (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))))) (+ (* -1 (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 3)))) (/ (* (+ (* -2 (/ (* beta (+ 1 (/ beta (+ 2 beta)))) (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (- (* -1 (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (+ (/ 1 (* (+ 1 (/ beta (+ 2 beta))) (+ 2 beta))) (/ beta (* (+ 1 (/ beta (+ 2 beta))) (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
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#s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))))))) alpha (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 beta (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (neg.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(/ (pow alpha 3) (pow (+ 2 beta) 3)) |
(/.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) |
(* (pow alpha 3) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
(*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) |
(* (pow alpha 3) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) |
(* (pow alpha 3) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (+ (* 6 (/ 1 (pow (+ 2 beta) 6))) (/ beta (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 5))) (+ (* 4 (/ 1 (pow (+ 2 beta) 5))) (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 3)))) |
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3 |
#s(literal 3 binary64) |
(- 3 (* 6 (/ 1 alpha))) |
(-.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) alpha)) |
(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (pow beta 2) (pow alpha 2)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))) |
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(- (+ 3 (+ (* -2 (/ (* beta (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 3))) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 3))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 3))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 3))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (pow (+ 2 beta) 2) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 3)))))))))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 6 (* 2 beta)) alpha))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) #s(literal -1 binary64) #s(literal 2 binary64)) |
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) |
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(- (+ 2 (* -1 (/ (+ (* -1 (* beta (pow (+ 4 (* 2 beta)) 2))) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 6 (/ 1 alpha)) (+ (/ (* beta (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (* 2 (/ 1 alpha)))) |
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(- (+ 1 (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -2 (/ (+ 2 beta) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 beta) (- (* -1 (* beta (+ 2 beta))) (* -2 (+ 2 beta)))) (pow alpha 3))))) |
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(* 1/6 (/ (+ 6 (+ (* 2 beta) (* 4 beta))) alpha)) |
(*.f64 (/.f64 (fma.f64 beta #s(literal 6 binary64) #s(literal 6 binary64)) alpha) #s(literal 1/6 binary64)) |
(/ (+ (* 1/6 (+ 6 (+ (* 2 beta) (* 4 beta)))) (* 1/2 (/ (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta))))) alpha))) alpha) |
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(/ (+ (* 1/6 (+ 6 (+ (* 2 beta) (* 4 beta)))) (+ (* 1/2 (/ (- (* 1/3 (+ (* -4 (* (pow beta 2) (+ 2 beta))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (+ (* 2 (* beta (pow (+ 2 beta) 2))) (+ (* beta (+ (* -2 (* beta (+ 2 beta))) (pow beta 2))) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)))))))) (+ (* -2 (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta)))))) (* 1/9 (* (+ 6 (+ (* 2 beta) (* 4 beta))) (- (+ (* -2 (* beta (+ 2 beta))) (pow beta 2)) (+ (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))))))) (pow alpha 2))) (* 1/2 (/ (- (* 1/3 (+ (* -2 (* beta (+ 2 beta))) (+ (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (pow beta 2) (pow (+ 2 beta) 2)))))))) (* -2/3 (+ 6 (+ (* 2 beta) (* 4 beta))))) alpha)))) alpha) |
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(/ (+ 6 (+ (* -4 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 6 (+ beta (* 2 beta))) 2) alpha)) (+ (* 2 beta) (+ (* 2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* 2 (/ (pow beta 2) alpha)) (+ (* 4 beta) (+ (/ (* beta (+ (* -2 (* beta (+ 2 beta))) (pow beta 2))) (pow alpha 2)) (+ (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)) (+ (/ (* (+ 2 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (pow beta 2) alpha) (+ (/ (pow (+ 2 beta) 2) alpha) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))))))))))))) alpha) |
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-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/16 beta) 1/8) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (+ (* -4 (/ (+ 2 alpha) beta)) (* 2 (/ alpha beta)))) |
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(* 2 (/ alpha beta)) |
(*.f64 (/.f64 alpha beta) #s(literal 2 binary64)) |
(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (pow alpha 2) beta))) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (+ (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (pow alpha 2) beta)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 2))))) beta) |
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* 2 alpha)) (* 2 (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)))) beta) |
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(/ (- (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* 2 alpha) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))))) (+ (* 2 (/ (* alpha (+ 2 alpha)) beta)) (+ (/ (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))) (pow beta 2)) (/ (* (+ 2 alpha) (- (* alpha (pow (+ 2 alpha) 2)) (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 3))))) beta) |
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(+ 1 (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta))) |
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(+ 1 (+ (* 1/2 (/ (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))) beta)) (* 1/2 (/ (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -4 (+ 2 alpha)) (* 2 alpha)) (- (* 1/4 (+ (* -8 (+ 2 alpha)) (* -4 (+ 2 alpha)))) (* 1/2 (+ (* -4 (+ 2 alpha)) (* 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) (pow beta 2))))) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2))) (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (pow alpha 3) (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (* (pow alpha 3) (pow (+ 2 alpha) 3)))) (pow beta 3))) (pow alpha 3)) (+ (* -1 (/ (* (pow alpha 3) (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) beta) (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3)) |
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(* 1/16 beta) |
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(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
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(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (pow alpha 2)) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
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(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
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(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 3))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha))))))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) beta))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))) beta)) (pow alpha 2))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
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(* -1 (/ (+ (* -2 alpha) (* -1 (/ (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))) beta))) beta)) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha)))) (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (- (+ (* 8 (pow (+ 2 alpha) 3)) (+ (* 12 (pow (+ 2 alpha) 3)) (* (+ 2 alpha) (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))))) (* -1 (pow alpha 3)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2)))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))))) (+ (* 1/4 (* (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha)))))) (* 1/2 (- (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* 6 (pow (+ 2 alpha) 3))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* -1 (* (+ 2 alpha) (- (* -1 (* alpha (+ 2 alpha))) (* 2 (* alpha (+ 2 alpha)))))))))))) beta)) (* 1/4 (+ (* 2 (+ (* 4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) (* 8 (pow (+ 2 alpha) 2))))) (+ (* 1/4 (* (+ (* -2 alpha) (* 4 (+ 2 alpha))) (- (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha)))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))))) (* 1/2 (- (+ (* -1 (* alpha (+ 2 alpha))) (+ (* 4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) (* 2 (* alpha (+ 2 alpha))))))) beta)) (* 1/4 (+ (* 4 (+ 2 alpha)) (* 8 (+ 2 alpha))))) (* 1/2 (+ (* -2 alpha) (* 4 (+ 2 alpha))))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 12 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (-.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha)))) (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))))) (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -3 binary64)) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 1/2 binary64))))) beta))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha)))) (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 alpha alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) beta) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 12 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) alpha))))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))))) beta) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta)) |
(* -1 (/ (+ (* -1 (pow alpha 3)) (/ (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) beta) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) beta))) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) beta) #s(literal -1 binary64) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta) (+ (/ (* (pow alpha 3) (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) beta) (/ (* (pow alpha 3) (pow (+ 2 alpha) 3)) beta))) (+ (* (pow alpha 3) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* (pow alpha 3) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (pow alpha 3) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta)) (* -1 (pow alpha 3))) (pow beta 3))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))) beta) (-.f64 (fma.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (*.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) beta)) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) beta) #s(literal -1 binary64) (neg.f64 (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 509 |
| 0 | 85 | 486 |
| 1 | 459 | 380 |
| 2 | 3937 | 380 |
| 0 | 8359 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 #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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (*.f64 beta #s(literal -1/128 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal -1/512 binary64)))) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal -1/8 binary64)) |
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta)) |
Compiled 70 995 to 4 853 computations (93.2% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 787 | 4 | 791 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 791 | 17 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 78.6% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) | |
| 49.1% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.6% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 78.8% | (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
| ▶ | 38.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 77.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 19.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) | |
| ▶ | 35.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
| ▶ | 35.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
| ✓ | 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 43.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ▶ | 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 42.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 813 to 561 computations (31% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) | |
| cost-diff | 1 | (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) | |
| cost-diff | 0 | #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) | |
| cost-diff | 1 | (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 506 |
| 0 | 88 | 506 |
| 1 | 155 | 482 |
| 2 | 262 | 465 |
| 3 | 610 | 465 |
| 4 | 1708 | 465 |
| 5 | 4500 | 465 |
| 0 | 8167 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
beta |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
alpha |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) |
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) |
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) |
(-.f64 beta #s(literal 1 binary64)) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) |
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) |
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) |
(+.f64 alpha #s(literal 1 binary64)) |
alpha |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
beta |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
alpha |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) |
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) |
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) |
(-.f64 beta #s(literal 1 binary64)) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta)) |
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) |
(/.f64 (-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) beta) |
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) |
(-.f64 (-.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 alpha #s(literal 1 binary64)) |
(-.f64 alpha #s(literal -1 binary64)) |
alpha |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) | |
| accuracy | 41.364332600316075 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 44.936547797698964 | #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) | |
| accuracy | 0.0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) | |
| accuracy | 0.015625 | (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) | |
| accuracy | 41.364332600316075 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) | |
| accuracy | 0.0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) | |
| accuracy | 14.926728151951593 | #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) | |
| accuracy | 41.364332600316075 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) | |
| accuracy | 0.0 | (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 14.712183043600875 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| accuracy | 25.241323357388506 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| accuracy | 25.84090470202547 | #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) | |
| accuracy | 0.0234375 | (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) | |
| accuracy | 0.07945253907376808 | (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) | |
| accuracy | 13.544203397737427 | (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) | |
| accuracy | 19.970620411862786 | (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
| 98.0ms | 95× | 1 | valid |
| 62.0ms | 116× | 0 | valid |
| 47.0ms | 45× | 2 | valid |
Compiled 373 to 54 computations (85.5% saved)
ival-div: 52.0ms (30.1% of total)adjust: 41.0ms (23.8% of total)ival-add: 29.0ms (16.8% of total)ival-mult: 25.0ms (14.5% of total)ival-sub: 13.0ms (7.5% of total)ival-pow: 10.0ms (5.8% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) |
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) |
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) |
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) |
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
| Outputs |
|---|
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) |
(+ (* alpha (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (+ (* alpha (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 5)))) (+ (* -2 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 5)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6)))) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (* (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4))))))) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (- (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* 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(/ (- beta 1) beta) |
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(/ (- (+ 2 beta) (* -1 beta)) alpha) |
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-1 |
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(* 1/2 (/ (- (+ 2 beta) (* -1 beta)) alpha)) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha))) alpha) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (+ (* 1/2 (/ (- (+ (* -1 (pow (+ 2 beta) 4)) (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (+ (* -1 (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))))) (+ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta)))))))))) (pow alpha 3))) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2)))))) alpha) |
1 |
(+ 1 (/ (pow beta 3) (pow alpha 3))) |
(+ 1 (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4))) (/ (pow beta 3) (pow alpha 3)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 5))) (/ (pow beta 3) (pow alpha 3)))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4))) |
(* 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))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha)))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(- (/ beta alpha) 1) |
(- (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ beta alpha)) 1) |
(- (+ (/ beta alpha) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) |
(/ (pow beta 3) (pow alpha 3)) |
(/ (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow beta 3)) (pow alpha 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (pow beta 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow alpha 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow beta 3) (pow (+ 2 beta) 3)))) (pow alpha 3))) (pow beta 3)) (+ (* -1 (/ (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))))) (pow alpha 3)) |
(/ beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(* -1 (/ (- (* -1 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* -1 (pow beta 3)))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* 1/2 (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(+ 1 (* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3)))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))) |
(* -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 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha))))) |
(- (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) 1) |
(* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha) (+ (/ (* (pow beta 3) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))))) alpha) (/ (* (pow beta 3) (pow (+ 2 beta) 3)) alpha))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha))) |
(- (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(- (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 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 (/ (pow beta 3) (pow (+ 2 alpha) 3))) |
(+ 1 (* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
(+ 1 (* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(* 1/2 (- (* -2 alpha) 2)) |
(+ beta (* 1/2 (- (* -2 alpha) 2))) |
(* -1 (+ 1 alpha)) |
(+ beta (* -1 (+ 1 alpha))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (+ beta (* -1 (+ 1 alpha))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(- (/ beta (+ 2 alpha)) 1) |
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1) |
(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1) |
(/ (pow beta 3) (pow (+ 2 alpha) 3)) |
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(/ beta (+ 2 alpha)) |
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)))))))) |
(- (+ 2 (+ (* -2 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2)))) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (pow beta 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (pow beta 3)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (pow beta 3)) (+ (/ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))))))))))))) |
(/ (- (/ (* alpha (+ 2 alpha)) beta) alpha) beta) |
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) alpha) beta) |
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) alpha) beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (+ (* -2 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (+ (* -2 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))) (* -1 (* alpha (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2))))) (+ (* 2 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (+ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (+ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow (+ 2 alpha) 3))))))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)))))) (pow beta 2)))))) |
(+ 2 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta))) |
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta)))) |
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
beta |
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))) |
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(* -1 (/ (+ 2 alpha) beta)) |
(/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta) |
(/ (- (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 2))) (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta))))) beta) |
(/ (- (/ (pow (+ 2 alpha) 4) (pow beta 3)) (+ 2 (+ alpha (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta) |
(+ 1 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta)))) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) |
(+ 1 (* -1 (/ (+ 2 alpha) beta))) |
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* -1 (/ (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 2 (+ 2 alpha)))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
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(* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)) |
(+ 1 (* -1/2 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))) beta)) (* 1/2 (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))))) beta))) |
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(+ 2 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta))) |
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(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) (pow (+ 2 alpha) 3))) beta)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* 2 (+ 2 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1))) |
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1))) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 4) beta)) (pow (+ 2 alpha) 3)) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (/ (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2) beta))) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | beta | @ | -inf | ((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2))) |
| 22.0ms | alpha | @ | 0 | ((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2))) |
| 8.0ms | beta | @ | inf | ((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2))) |
| 7.0ms | alpha | @ | inf | ((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2))) |
| 6.0ms | alpha | @ | -inf | ((+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) (neg (/ alpha (- (+ alpha beta) -2))) (/ (+ (* (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (pow (+ (* (/ beta (- (+ alpha beta) -2)) (- (/ beta (- (+ alpha beta) -2)) 1)) 1) -1)) (neg (/ alpha (- (+ alpha beta) -2)))) 2) (+ (pow (/ beta (- (+ alpha beta) -2)) 3) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ (* -2 alpha) -2) 1/2) beta) beta) (+ (* (+ (* -2 alpha) -2) 1/2) beta) (+ (* (+ alpha 1) -1) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* (+ alpha 1) -1) beta) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (- (/ beta (- (+ alpha beta) -2)) 1) (pow (/ beta (- (+ alpha beta) -2)) 3) (/ beta (- (+ alpha beta) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1377 | 14276 |
| 1 | 4699 | 12781 |
| 0 | 8172 | 12119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) |
(+ (* alpha (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
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(/ (- (+ 2 beta) (* -1 beta)) alpha) |
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha))))) (+ (* -1 beta) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)))) alpha) |
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (/ (pow beta 2) alpha))))))) alpha) |
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (/ (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 3)) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta))))) (pow alpha 3)) (/ (pow beta 2) alpha)))))))))))) alpha) |
-1 |
(- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) |
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1) |
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) 1) |
(* 1/2 (/ (- (+ 2 beta) (* -1 beta)) alpha)) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha))) alpha) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (+ (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha)) (+ (* 1/2 (/ (- (+ (* -1 (pow (+ 2 beta) 4)) (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (+ (* -1 (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))))) (+ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta)))))))))) (pow alpha 3))) (* 1/2 (/ (- (+ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (pow beta 3) (pow (+ 2 beta) 3))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))))) (pow alpha 2)))))) alpha) |
1 |
(+ 1 (/ (pow beta 3) (pow alpha 3))) |
(+ 1 (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4))) (/ (pow beta 3) (pow alpha 3)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 5))) (/ (pow beta 3) (pow alpha 3)))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow alpha 4))) |
(* 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))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha)))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(- (/ beta alpha) 1) |
(- (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ beta alpha)) 1) |
(- (+ (/ beta alpha) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) |
(/ (pow beta 3) (pow alpha 3)) |
(/ (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow beta 3)) (pow alpha 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (pow beta 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow alpha 3)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow beta 3) (pow (+ 2 beta) 3)))) (pow alpha 3))) (pow beta 3)) (+ (* -1 (/ (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))))) (pow alpha 3)) |
(/ beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(* -1 (/ (- (* -1 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* -1 (pow beta 3)))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha)) (+ 2 (* 2 beta))) alpha)) |
(- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* (+ 2 beta) (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* -1 (* beta (- (* (pow beta 2) (+ 2 beta)) (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (+ (* beta (- (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (* (pow beta 2) (+ 2 beta)))))) (+ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* (pow beta 2) (pow (+ 2 beta) 2)) (+ (* (pow beta 3) (+ 2 (+ beta (+ (* -1 beta) (* 2 (+ 2 beta)))))) (pow (+ 2 beta) 4))))))) alpha)) (* 1/2 (- (+ (* -1 (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (* -1 (pow beta 3))) (+ (* -1 (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta)))))) (+ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (+ (* (pow beta 2) (+ 2 beta)) (pow (+ 2 beta) 3))))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (+ (pow beta 2) (pow (+ 2 beta) 2)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(+ 1 (* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3)))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3)))) |
(* -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 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha))))) |
(- (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) 1) |
(* -1 (/ (+ (* -1 (pow beta 3)) (/ (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta))))) alpha)) (pow alpha 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha) (+ (/ (* (pow beta 3) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))))) alpha) (/ (* (pow beta 3) (pow (+ 2 beta) 3)) alpha))) (+ (* (pow beta 3) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (pow beta 3) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) alpha)) (* (pow beta 3) (+ 2 (+ beta (* 2 (+ 2 beta)))))) alpha)) (* -1 (pow beta 3))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha))) |
(- (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(- (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 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 (/ (pow beta 3) (pow (+ 2 alpha) 3))) |
(+ 1 (* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
(+ 1 (* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(* 1/2 (- (* -2 alpha) 2)) |
(+ beta (* 1/2 (- (* -2 alpha) 2))) |
(* -1 (+ 1 alpha)) |
(+ beta (* -1 (+ 1 alpha))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (+ beta (* -1 (+ 1 alpha))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(- (/ beta (+ 2 alpha)) 1) |
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1) |
(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1) |
(/ (pow beta 3) (pow (+ 2 alpha) 3)) |
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(/ beta (+ 2 alpha)) |
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)))))))) |
(- (+ 2 (+ (* -2 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2)))) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (pow beta 2)) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (pow beta 3)) (+ (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (pow beta 3)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 2)) (+ (/ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (pow beta 3)) (+ (/ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))))))))))))) |
(/ (- (/ (* alpha (+ 2 alpha)) beta) alpha) beta) |
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) alpha) beta) |
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) alpha) beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (+ (* -2 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (+ (* -2 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))) (* -1 (* alpha (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (- (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))))) (* -1 (pow (+ 4 (* 2 alpha)) 2))))) (+ (* 2 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (+ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- alpha (+ 2 (* 2 alpha)))) (+ (* (- alpha (+ 2 (* 2 alpha))) (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha))))) (+ (* (- (* -1 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (- (+ 2 (* 2 alpha)) alpha)) (pow (+ 2 alpha) 3))))))))) (pow beta 3))) (* 1/2 (/ (- (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- alpha (+ 2 (* 2 alpha)))) (* (- alpha (+ 2 (* 2 alpha))) (- (+ 2 (* 2 alpha)) alpha)))))) (pow beta 2)))))) |
(+ 2 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta))) |
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta)))) |
(- (+ 2 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
beta |
(* beta (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))) |
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(* -1 (/ (+ 2 alpha) beta)) |
(/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta) |
(/ (- (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 2))) (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta))))) beta) |
(/ (- (/ (pow (+ 2 alpha) 4) (pow beta 3)) (+ 2 (+ alpha (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta) |
(+ 1 (* -1 (/ (+ 6 (+ alpha (* 2 alpha))) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (/ alpha beta)))) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* -1 (pow (+ 6 (+ alpha (* 2 alpha))) 2)) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 6 (+ alpha (* 2 alpha))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 6 (+ alpha (* 2 alpha))) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 6 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))) |
(+ 1 (* -1 (/ (+ 2 alpha) beta))) |
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* -1 (/ (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 2 (+ 2 alpha)))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(+ 2 (* -1 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* -1 (/ (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (/ (- (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (+ (* 4 (pow (+ 2 alpha) 3)) (+ (* alpha (pow (+ 2 alpha) 2)) (+ (* (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))))) (* (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))))))))) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))) (+ (* -1 (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (+ (* 2 (pow (+ 2 alpha) 3)) (pow (+ 2 alpha) 3)))) (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2))))))) beta)) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2)))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))) beta)) (+ (* 2 alpha) (* 2 (+ 2 alpha)))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)) |
(+ 1 (* -1/2 (/ (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))) beta)) (* 1/2 (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (+ (* 4 (pow (+ 2 alpha) 3)) (+ (* alpha (pow (+ 2 alpha) 2)) (+ (* (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))))) (* (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))))))))) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2))))) (+ (* -1 (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (+ (* 2 (pow (+ 2 alpha) 3)) (pow (+ 2 alpha) 3)))) (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2))))))) beta)) (* 1/2 (- (+ (* -4 (pow (+ 2 alpha) 2)) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -2 (+ 2 alpha)))) (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* alpha (+ 2 alpha)) (pow (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) 2))))))) (+ (* -1 (+ (* -4 (pow (+ 2 alpha) 2)) (* 2 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* -2 (+ 2 alpha)))) 2)))))) beta)) (* 1/2 (- (+ 4 (+ (* -2 (+ 2 alpha)) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (+ (* -1 alpha) (* -1 (+ 2 (+ alpha (* -2 (+ 2 alpha))))))))) beta))) |
(+ 2 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))) beta)) (* 2 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) (pow (+ 2 alpha) 3))) beta)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* 2 (+ 2 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))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1))) |
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1))) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 4) beta)) (pow (+ 2 alpha) 3)) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (/ (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2) beta))) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
| Outputs |
|---|
(+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* alpha (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 beta) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))))) 2)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 3) (pow (+ 2 beta) 9)))) (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3))) (+ (/ (* (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (- (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2))) (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (+ (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ 6 (+ beta (* 2 beta)))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 3) (- (+ (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3)) (/ (pow beta 2) (pow (+ 2 beta) 4))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 4)))))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))) (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 4))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 2)))) (+ (* -1 (/ (pow beta 2) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 3)))) (+ (/ 1 (+ 2 beta)) (/ (* (pow beta 3) (+ (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 3) (- (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2)))))) (* (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2) (pow (+ 2 beta) 6))))))) (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
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(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 beta) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 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#s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(* -1 (/ alpha (+ 2 beta))) |
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))) |
(*.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* 1/2 (+ (/ 1 (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) (/ (pow beta 3) (* (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) (pow (+ 2 beta) 3))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
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(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
(+.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 9 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) alpha (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 9))) (/ (pow beta 3) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(/ (- beta 1) beta) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- beta 1) |
(-.f64 beta #s(literal 1 binary64)) |
(- (+ beta (* -1 alpha)) 1) |
(-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) |
(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(- (/ beta (+ 2 beta)) 1) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) 1) |
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(- (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) 1) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(- (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) 1) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(/ (pow beta 3) (pow (+ 2 beta) 3)) |
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) |
(+ (* -1 (/ (* alpha (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 6))) (/ (pow beta 3) (pow (+ 2 beta) 3))) |
(fma.f64 (neg.f64 alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3))) (+ (* -1 (/ (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 9))) (/ (pow beta 3) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 3) (pow (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) 2)) (pow (+ 2 beta) 9))) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 9 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 9 binary64))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) alpha (fma.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 9 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64)))))) alpha (*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) alpha (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(/ (- (+ 2 beta) (* -1 beta)) alpha) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) |
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha))))) (+ (* -1 beta) (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) alpha)))) alpha) |
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) beta) #s(literal 2 binary64)) beta) alpha) |
(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (/ (pow beta 2) alpha))))))) alpha) |
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(/ (- (+ 2 (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (/ (* (+ 2 beta) (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (pow beta 3) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))))))) (+ (* -1 beta) (+ (* -1 (/ (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2)))) (pow alpha 2))) (+ (* -1 (/ (* beta (- (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (+ (* -1 (* beta (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))))) (+ (* -1 (* (pow beta 2) (+ 2 beta))) (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))))) (pow alpha 3))) (+ (* -1 (/ (* (pow beta 2) (+ 2 beta)) (pow alpha 2))) (+ (* -1 (/ (pow beta 2) alpha)) (+ (/ (* beta (- (* -1 (* (pow beta 2) (+ 2 beta))) (* (+ 2 beta) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))))) (pow alpha 3)) (+ (/ (* beta (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 2)) (+ (/ (* (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (pow beta 2)) (pow beta 2))) (- (pow beta 2) (* -1 (* beta (+ 2 beta))))) (pow alpha 3)) (+ (/ (* (pow beta 2) (pow (+ 2 beta) 2)) (pow alpha 3)) (+ (/ (* (pow beta 3) (+ 6 (+ beta (+ (* -1 beta) (* 2 beta))))) (pow alpha 3)) (/ (pow beta 2) alpha)))))))))))) alpha) |
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#s(literal -1 binary64) |
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(/ (+ (* 1/2 (- (+ 2 beta) (* -1 beta))) (* 1/2 (/ (- (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) (+ (* -1 (pow beta 2)) (pow beta 2))) alpha))) alpha) |
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1 |
#s(literal 1 binary64) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(* -1 (/ alpha beta)) |
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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
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(*.f64 (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) alpha) |
(* -2 (/ alpha beta)) |
(*.f64 (/.f64 alpha beta) #s(literal -2 binary64)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(* -2 alpha) |
(*.f64 #s(literal -2 binary64) alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
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(- (/ beta alpha) 1) |
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(- (+ (* -1 (/ (* beta (+ 2 beta)) (pow alpha 2))) (/ beta alpha)) 1) |
(fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(- (+ (/ beta alpha) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2)))) |
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(/ (pow beta 3) (pow alpha 3)) |
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(/ (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha)) (pow beta 3)) (pow alpha 3)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2))) (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))))) (+ (* -1 (* (pow beta 3) (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow beta 3) (pow (+ 2 beta) 3)))) (pow alpha 3))) (pow beta 3)) (+ (* -1 (/ (* (pow beta 3) (pow (+ 6 (+ beta (* 2 beta))) 2)) (pow alpha 2))) (+ (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) alpha) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2))))) (pow alpha 3)) |
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(/ beta alpha) |
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
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(/ (+ 2 (* 2 beta)) alpha) |
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(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(- (/ (* alpha beta) (pow (+ 2 alpha) 2)) (/ alpha (+ 2 alpha))) |
(fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #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 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ 1 (/ (pow beta 3) (pow (+ 2 alpha) 3))) |
(+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))) (neg.f64 beta) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))))) beta (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/8 beta)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1/2 binary64)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(* 1/2 (- (* -2 alpha) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(+ beta (* 1/2 (- (* -2 alpha) 2))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) |
(* -1 (+ 1 alpha)) |
(-.f64 #s(literal -1 binary64) alpha) |
(+ beta (* -1 (+ 1 alpha))) |
(-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) |
(* -1 (/ (+ 1 alpha) beta)) |
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) |
(/ (+ beta (* -1 (+ 1 alpha))) beta) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(- (/ beta (+ 2 alpha)) 1) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) |
(- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) 1) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta #s(literal -1 binary64)) |
(- (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) 1) |
(fma.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta #s(literal -1 binary64)) |
(/ (pow beta 3) (pow (+ 2 alpha) 3)) |
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) |
(* (pow beta 3) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))) (neg.f64 beta) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))) |
(* (pow beta 3) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))))) beta (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64))) |
(* (pow beta 3) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 6 (+ alpha (* 2 alpha))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 6))) (+ (* 6 (/ 1 (pow (+ 2 alpha) 6))) (/ alpha (pow (+ 2 alpha) 6))))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 5))) (+ (* 4 (/ 1 (pow (+ 2 alpha) 5))) (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 3)))) |
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(/ beta (+ 2 alpha)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) |
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta) |
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta) |
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) beta (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 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)) |
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(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2))) beta)) (* 2 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (-.f64 alpha (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) beta)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) #s(literal 2 binary64)) beta)) |
(+ 2 (* -1 (/ (+ 2 (+ alpha (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) (pow (+ 2 alpha) 3))) beta)) (+ (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* 2 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -2 binary64) (-.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) beta))) beta)) alpha) #s(literal 2 binary64)) beta)) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) (neg.f64 beta)) |
(* -1 (* beta (- (* -1/2 (/ (- (* -2 alpha) 2) beta)) 1))) |
(*.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)) (neg.f64 beta)) |
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (neg.f64 beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta)) |
(/.f64 (+.f64 (-.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) (neg.f64 beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) beta)) (neg.f64 beta)) |
(* -1 (/ (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 alpha) 4) beta)) (pow (+ 2 alpha) 3)) beta)) (pow (+ 2 alpha) 2)) beta)))) beta)) |
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) beta)) beta)) beta)) (neg.f64 beta)) |
(+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (/ (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2) beta))) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 3 binary64)) beta) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 3) beta)) (/ (* (+ 2 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* -1 (+ (* -2 (pow (+ 2 alpha) 2)) (* -1 (pow (+ 2 alpha) 2)))) (* -1 (pow (+ 2 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* -1 (+ 2 (+ alpha (* 2 (+ 2 alpha)))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 3 binary64)) beta) (fma.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (neg.f64 beta)))) (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))))) (neg.f64 beta)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 423 |
| 0 | 88 | 423 |
| 1 | 446 | 395 |
| 2 | 3542 | 341 |
| 0 | 8910 | 331 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta)) |
(/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta) |
#s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) |
(fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta)) |
(/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 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)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal -1 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)) (pow.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 -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.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))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.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)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta)) |
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(*.f64 (pow.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 beta #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3 binary64)) (pow.f64 beta #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(*.f64 beta (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3 binary64)) |
(pow.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 beta) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 beta (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 beta))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) beta)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 beta) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 beta (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 beta)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 (pow.f64 (neg.f64 beta) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (neg.f64 beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 beta (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 beta) #s(literal 3 binary64)) (*.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 beta)) (exp.f64 (neg.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) beta) |
(*.f64 (neg.f64 beta) (pow.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(*.f64 beta (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 beta (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 beta))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 beta))) (exp.f64 (log.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 beta) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 beta (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
Compiled 46 095 to 4 044 computations (91.2% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 777 | 2 | 779 |
| Fresh | 0 | 7 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 779 | 17 | 796 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 78.6% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) | |
| 49.1% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.6% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 78.8% | (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
| ✓ | 77.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 19.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) | |
| 35.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) | |
| ✓ | 35.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
| 35.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) | |
| ✓ | 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 43.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 44.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 42.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 356 to 547 computations (59.7% 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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))))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
5 calls:
| 9.0ms | alpha |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | alpha |
| 78.9% | 1 | beta |
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | (/.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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #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)) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 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)) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.2% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 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:
| 6.0ms | (/.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)) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.2% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -1 binary64) beta) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
3 calls:
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 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 |
|---|---|---|
| 98.1% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.1% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.1% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 (-.f64 beta alpha) #s(literal 1 binary64))) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.9% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 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 |
|---|---|---|
| 97.8% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.8% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 #s(approx (+ (* (+ (* -2 alpha) -2) 1/2) beta) (-.f64 beta #s(literal 1 binary64))) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
5 calls:
| 27.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | beta |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | beta |
| 52.6% | 2 | alpha |
| 76.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 76.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 76.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | beta |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 75.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 75.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 76.0% | 2 | beta |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | beta |
| 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 |
|---|---|---|
| 75.4% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 75.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 75.4% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 75.4% | 2 | beta |
Compiled 34 to 28 computations (17.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | alpha |
| 1.0ms | beta |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 1 | alpha |
| 42.6% | 1 | beta |
| 42.6% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 42.6% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 42.6% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999968 | -0.9999991592346653 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00020883665008701135 | 0.8955028099549915 |
| 0.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00020883665008701135 | 0.8955028099549915 |
| 0.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00020883665008701135 | 0.8955028099549915 |
| 0.0ms | -0.9999991592346653 | -0.002474827852890472 |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.00041776054388654966 | 3459.6507235705053 |
| 6.0ms | 107× | 0 | valid |
| 3.0ms | 23× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 574 to 438 computations (23.7% saved)
ival-add: 3.0ms (40.3% of total)ival-div: 2.0ms (26.9% of total)adjust: 1.0ms (13.4% of total)ival-sub: 1.0ms (13.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00041776054388654966 | 3459.6507235705053 |
Compiled 430 to 348 computations (19.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00041776054388654966 | 3459.6507235705053 |
Compiled 403 to 330 computations (18.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.00020883665008701135 | 0.8955028099549915 |
| 4.0ms | 128× | 0 | valid |
Compiled 336 to 280 computations (16.7% saved)
ival-div: 1.0ms (58.9% of total)ival-add: 1.0ms (58.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 770 |
| 1 | 157 | 768 |
| 2 | 237 | 766 |
| 3 | 388 | 766 |
| 4 | 618 | 766 |
| 5 | 1107 | 766 |
| 6 | 2310 | 766 |
| 7 | 7023 | 766 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) #s(approx (/ (+ (* (+ alpha 1) -1) beta) beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))))))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 | 1377 | 14276 |
| 1 | 4699 | 12781 |
| 0 | 8172 | 12119 |
| 0 | 951 | 5058 |
| 1 | 3061 | 4761 |
| 0 | 8746 | 4505 |
| 0 | 55 | 509 |
| 0 | 85 | 486 |
| 1 | 459 | 380 |
| 2 | 3937 | 380 |
| 0 | 8359 | 369 |
| 0 | 38 | 260 |
| 0 | 66 | 260 |
| 1 | 350 | 260 |
| 2 | 3077 | 260 |
| 0 | 9868 | 260 |
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4609 | 1878 |
| 0 | 8705 | 1750 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 8667 | 43 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 075 to 381 computations (64.6% saved)
Compiled 1 566 to 242 computations (84.5% saved)
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