
Time bar (total: 8.2s)
| 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)
| 515.0ms | 6 096× | 0 | valid |
| 319.0ms | 1 429× | 1 | valid |
| 244.0ms | 731× | 2 | valid |
ival-div: 213.0ms (29.2% of total)ival-add: 209.0ms (28.6% of total)adjust: 132.0ms (18.1% of total)ival-sub: 103.0ms (14.1% of total)ival->: 42.0ms (5.8% of total)exact: 16.0ms (2.2% of total)ival-and: 12.0ms (1.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 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 | 78 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 78 | 0 |
| - | 0 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 78 | 0 | 0 |
| - | 0 | 0 | 178 |
| number | freq |
|---|---|
| 0 | 178 |
| 1 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 364× | 0 | valid |
| 41.0ms | 108× | 1 | valid |
| 9.0ms | 40× | 2 | valid |
Compiled 209 to 67 computations (67.9% saved)
ival-add: 39.0ms (46.8% of total)ival-div: 34.0ms (40.8% of total)adjust: 5.0ms (6% of total)ival-sub: 4.0ms (4.8% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 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 | 1153 | 65 |
| 5 | 2761 | 65 |
| 6 | 5383 | 65 |
| 7 | 6224 | 65 |
| 8 | 6491 | 65 |
| 9 | 6607 | 65 |
| 10 | 6633 | 65 |
| 11 | 6633 | 65 |
| 12 | 6681 | 65 |
| 13 | 6780 | 65 |
| 14 | 6780 | 65 |
| 15 | 6780 | 65 |
| 16 | 6884 | 65 |
| 17 | 7904 | 65 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 28 | 13 |
| 2 | 45 | 13 |
| 3 | 73 | 13 |
| 4 | 133 | 13 |
| 5 | 292 | 13 |
| 6 | 572 | 13 |
| 7 | 944 | 13 |
| 8 | 1607 | 13 |
| 9 | 2841 | 13 |
| 10 | 3063 | 13 |
| 11 | 3150 | 13 |
| 12 | 3204 | 13 |
| 13 | 3206 | 13 |
| 14 | 3206 | 13 |
| 15 | 3206 | 13 |
| 0 | 3206 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(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 |
|---|---|---|
| ▶ | 72.4% | (/.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 | 512 | (/.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 | 572 | 48 |
| 7 | 944 | 48 |
| 8 | 1607 | 48 |
| 9 | 2841 | 48 |
| 10 | 3063 | 48 |
| 11 | 3150 | 48 |
| 12 | 3204 | 48 |
| 13 | 3206 | 48 |
| 14 | 3206 | 48 |
| 15 | 3206 | 48 |
| 0 | 3206 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(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 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 17.607759708564778 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 27.0ms | 182× | 0 | valid |
| 8.0ms | 54× | 1 | valid |
| 4.0ms | 20× | 2 | valid |
Compiled 98 to 22 computations (77.6% saved)
ival-add: 20.0ms (67.6% of total)ival-div: 4.0ms (13.5% of total)adjust: 2.0ms (6.8% of total)ival-sub: 2.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | beta | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4569 | 1878 |
| 0 | 8651 | 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)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (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)))) |
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 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))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.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) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (*.f64 (/.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 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.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 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha 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 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.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 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 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 | 9057 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| 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 (*.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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 alpha beta)) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 beta #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) beta) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 alpha #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) beta)) |
(+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (neg.f64 alpha))) |
(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.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 (neg.f64 (neg.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 (*.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))) (fma.f64 #s(literal -1 binary64) (+.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) (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)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (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 #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 beta alpha)) (*.f64 (+.f64 alpha beta) (-.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 (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) (neg.f64 (fma.f64 #s(literal -1 binary64) beta #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)) |
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) alpha (+.f64 #s(literal 2 binary64) beta)) |
(-.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 (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)))) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) |
(*.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))))) |
(*.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)))) |
(*.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))) |
(*.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)))))) |
(*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64))) |
(*.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))))) |
(*.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))) |
(*.f64 #s(literal 1 binary64) (+.f64 alpha beta)) |
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.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 (neg.f64 beta) 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 (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 (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 #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 (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))) |
(neg.f64 (neg.f64 (+.f64 alpha beta))) |
(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)))) |
(fma.f64 #s(literal 1 binary64) 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 alpha) |
Compiled 16 169 to 2 376 computations (85.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 17 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 521 | 17 | 538 |
| Status | Accuracy | Program |
|---|---|---|
| 72.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 72.2% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 71.8% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 72.3% | (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
| 43.4% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| ▶ | 73.4% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
| 72.3% | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))))) | |
| ▶ | 72.0% | (/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 72.4% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 72.3% | (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)))))) | |
| ▶ | 32.6% | #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))) |
| 69.0% | #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))) | |
| 29.8% | #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)) | |
| 30.7% | #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)) | |
| 31.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 45.1% | #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))) | |
| ▶ | 39.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 938 to 540 computations (42.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) | |
| cost-diff | 384 | (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) | |
| cost-diff | 512 | (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) 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 | 384 | (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 | #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 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 512 | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 1088 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 419 |
| 0 | 74 | 407 |
| 1 | 134 | 407 |
| 2 | 242 | 407 |
| 3 | 589 | 405 |
| 4 | 2003 | 383 |
| 5 | 6947 | 383 |
| 0 | 8086 | 376 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 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 |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(literal 1 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 (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) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) |
#s(literal 1 binary64) |
(/.f64 alpha beta) |
alpha |
beta |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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 |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(literal 1 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 (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) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) |
#s(approx (- beta alpha) (-.f64 beta alpha)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(-.f64 beta alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) |
#s(literal 1 binary64) |
(/.f64 alpha beta) |
alpha |
beta |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal -2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) | |
| accuracy | 0.2211113769897462 | (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) | |
| accuracy | 17.615872872572144 | (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 17.719922554639336 | (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 6.87334130595035 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) | |
| accuracy | 17.607759708564778 | (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 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 | 0.015625 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| accuracy | 43.1113106302754 | #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 | 39.03467266793768 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 17.626011336685234 | (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
| 105.0ms | 101× | 1 | valid |
| 62.0ms | 44× | 2 | valid |
| 29.0ms | 111× | 0 | valid |
Compiled 800 to 86 computations (89.3% saved)
ival-div: 52.0ms (40.7% of total)ival-add: 25.0ms (19.6% of total)adjust: 21.0ms (16.5% of total)ival-sub: 13.0ms (10.2% of total)ival-pow: 10.0ms (7.8% of total)ival-mult: 6.0ms (4.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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)) |
#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)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
| Outputs |
|---|
(+ 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)))) |
(* 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)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
beta |
(+ beta (* -1 alpha)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) |
(+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))) (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))) |
(+ (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (* -1 (/ (* (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))) (* 1/2 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))))) |
(+ (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* alpha (+ (* 1/2 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 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beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (+ (* -1 (/ (* (- (* -1 (/ (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) 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1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (* -1 (/ (* (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))))))) |
(/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)) |
(+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
(+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
(+ 1 (+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | beta | @ | -inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 20.0ms | alpha | @ | 0 | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 18.0ms | beta | @ | 0 | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 17.0ms | alpha | @ | -inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 15.0ms | alpha | @ | inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1821 | 31365 |
| 1 | 6168 | 30209 |
| 0 | 8020 | 28918 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)))) |
(* 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)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
beta |
(+ beta (* -1 alpha)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) |
(+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))) (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))) |
(+ (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (* -1 (/ (* (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))) (* 1/2 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))))) |
(+ (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* alpha (+ (* 1/2 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 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1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (* -1 (/ (* (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))))))) |
(/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)) |
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1 |
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(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta)) |
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta)) |
(* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* -1 (/ (pow (+ 2 alpha) 4) beta))) (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3)))) beta)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta)) |
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (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))) #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)))) |
(+.f64 (fma.f64 (-.f64 (*.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)))) 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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 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 #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))))) 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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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 #s(literal 1/2 binary64) (-.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)))))) 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 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(+ (* 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 (fma.f64 (-.f64 (neg.f64 (*.f64 alpha (/.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 3 binary64)))) alpha (/.f64 (neg.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) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(/ -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 |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ 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 (- (/ (* 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 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (+.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))) |
(+ (* 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 (neg.f64 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))))) (neg.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)))) alpha (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))) |
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #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)) |
(+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))) (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.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))) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 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))) (*.f64 (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.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 (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)))))) alpha (/.f64 (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #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))))) |
(+ (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (+ (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2))) (* -1 (/ (* (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))) (* 1/2 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -3 binary64)) (fma.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))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.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))) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 beta 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(/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)) |
(/.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
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(+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
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(+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
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(+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) |
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(+ 1 (+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(+ 1 (+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
(/.f64 (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #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 (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 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))))) |
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(- (/ beta (+ 2 beta)) 1) |
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(+ 1 (+ (* alpha (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
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(+ (* alpha (+ (* -1 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))))) (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(/ (+ 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 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) 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) |
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(/ (- (+ 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 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64)))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) 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) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (/.f64 (-.f64 (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 2 binary64)))) (*.f64 alpha alpha))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 (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 2 binary64)))) (*.f64 alpha alpha))))) alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) 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) |
(/.f64 (-.f64 (-.f64 beta (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)) alpha) |
(* -1 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha) |
(* -2 (/ alpha beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) beta))) |
(* -2 alpha) |
(*.f64 #s(literal -2 binary64) alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) 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))))) |
(-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1 binary64))) |
(* -1/6 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) |
(*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64)) |
(/ (+ (* -1/6 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (* 1/2 (/ (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) alpha))) alpha) |
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(/ (+ (* -1/6 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* -1/3 (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3))))) (+ (* -1/3 (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))))) (pow alpha 2))) (* 1/2 (/ (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) alpha)))) alpha) |
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beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))))))) (pow.f64 alpha #s(literal 3 binary64))))))) alpha) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) |
(+ 2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2))))) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) |
(+ 2 (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2)))))) |
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 2 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
(-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) |
(+ 3 (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2))))) |
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) |
(+ 3 (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2)))))) |
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 3 binary64)) |
(* -1/3 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha)) |
(/ (- (+ (* -1/3 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (* -1/3 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha))) (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))))) alpha)) alpha) |
(/ (- (+ (* -1/3 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (+ (* -1/3 (/ (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3)))) (pow alpha 2))) (* -1/3 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha)))) (+ (* -1/3 (/ (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) alpha)) (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (pow alpha 2)))))) alpha) |
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(/ (- (+ (* -1/3 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (+ (* -1/3 (/ (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3)))) (pow alpha 2))) (+ (* -1/3 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (* 1/3 (/ (+ (* (+ 6 (+ beta (* 2 beta))) (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 3) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))))) (pow alpha 3)))))) (+ (* -1/3 (/ (* (- (* -1/3 (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3))))) (+ (* -1/3 (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) (pow alpha 3))) (+ (* -1/3 (/ (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) (pow alpha 2))) (+ (* -1/3 (/ (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (pow alpha 3))) (+ (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))))) (pow alpha 3))) (+ (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) alpha)) (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (pow alpha 2))))))))) alpha) |
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(* -1 (/ (* alpha (- (* -1 (/ alpha (+ 2 alpha))) 1)) (+ 2 alpha))) |
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(- (/ alpha beta) 1) |
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(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
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(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)) |
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(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 345 |
| 0 | 74 | 333 |
| 1 | 385 | 333 |
| 2 | 3592 | 281 |
| 0 | 9079 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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)) |
#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)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (/.f64 alpha (+.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 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #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 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.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))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #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 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 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 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (-.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)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (neg.f64 (-.f64 alpha beta))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta))) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) (/.f64 (+.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) (/.f64 (-.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
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(/.f64 (pow.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 alpha beta)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 (-.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))) |
Compiled 69 196 to 5 539 computations (92% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 095 | 14 | 1 109 |
| Fresh | 5 | 7 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 104 | 22 | 1 126 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ▶ | 73.4% | (fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
| 72.2% | (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 48.9% | (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 29.5% | (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) | |
| ▶ | 64.5% | (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
| 28.7% | (/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (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))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) | |
| 43.4% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| ▶ | 32.0% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
| 43.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64)) | |
| 56.0% | (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
| 72.4% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 72.0% | (*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| 31.8% | #s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) | |
| 45.1% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| 35.5% | #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))) | |
| 69.0% | #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))) | |
| 29.8% | #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)) | |
| 30.7% | #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)) | |
| 31.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| ▶ | 32.8% | #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)))) |
| ✓ | 39.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 489 to 846 computations (43.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) | |
| cost-diff | 128 | (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 192 | (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 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)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| cost-diff | 0 | (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 128 | (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 128 | (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 1280 | (fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 521 |
| 0 | 102 | 527 |
| 1 | 191 | 509 |
| 2 | 351 | 502 |
| 3 | 852 | 498 |
| 4 | 2362 | 496 |
| 0 | 8313 | 486 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 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 1/2 binary64) |
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
(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) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(/.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(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(-.f64 #s(literal -2 binary64) beta) |
#s(literal -2 binary64) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) |
(*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(+.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
beta |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
alpha |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
(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 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #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) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(/.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(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(-.f64 #s(literal -2 binary64) beta) |
#s(literal -2 binary64) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))) |
(fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) alpha alpha) (-.f64 #s(literal -2 binary64) alpha)) |
(*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) alpha) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) | |
| accuracy | 0.2211113769897462 | (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) | |
| accuracy | 5.1361593289206535 | #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) | |
| accuracy | 17.615872872572144 | (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) | |
| accuracy | 0.015625 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 43.55364013962718 | #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| accuracy | 17.606595685251282 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| accuracy | 19.999808868389916 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| accuracy | 43.1113106302754 | #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)))) | |
| accuracy | 0.0078125 | (fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 0.015625 | (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 17.626011336685234 | (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 120.0ms | 181× | 0 | valid |
| 71.0ms | 20× | 2 | valid |
| 62.0ms | 55× | 1 | valid |
Compiled 957 to 126 computations (86.8% saved)
ival-div: 89.0ms (51.2% of total)ival-add: 36.0ms (20.7% of total)ival-sub: 14.0ms (8.1% of total)ival-mult: 13.0ms (7.5% of total)adjust: 12.0ms (6.9% of total)ival-pow: 6.0ms (3.5% 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 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(/.f64 #s(literal 1 binary64) beta) |
(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)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 alpha beta) |
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
1/2 |
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta)))) |
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))) |
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))))) |
-1/2 |
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 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))))))))) |
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(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha) |
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
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(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha) |
(* 1/2 (/ (+ 2 beta) alpha)) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha) |
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(* -1/2 (/ (+ 2 beta) alpha)) |
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(/ beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) 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) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
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(/ (+ (* -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 beta) (+ 2 beta)) alpha)) 1) |
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alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(/ (+ 2 (* 2 beta)) alpha) |
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(/ (- (+ 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) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1/6 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) |
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(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | beta | @ | 0 | ((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 14.0ms | alpha | @ | 0 | ((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 10.0ms | beta | @ | -inf | ((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 6.0ms | alpha | @ | -inf | ((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 6.0ms | alpha | @ | inf | ((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2143 | 30861 |
| 1 | 7145 | 30861 |
| 0 | 8070 | 29162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
1/2 |
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta)))) |
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))) |
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))))) |
-1/2 |
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(+ 1/2 (+ (* -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)))))))))) |
(+ (* -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))) |
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(* -1 beta) |
(- alpha beta) |
(* -1 (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) |
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2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))))))))) |
-1 |
(- (* -1/2 alpha) 1) |
(- (* alpha (- (* 1/4 alpha) 1/2)) 1) |
(- (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)) 1) |
(* -1/2 alpha) |
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(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha) |
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
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(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha) |
(* 1/2 (/ (+ 2 beta) alpha)) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha) |
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(* -1/2 (/ (+ 2 beta) alpha)) |
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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) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
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1 |
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3 |
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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(+ 1 (+ (* 1/2 (/ (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))) beta)) (* 1/2 (/ (- (* -1 (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (+ (* -2 (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))) beta)) (+ (* 1/2 (/ (- (* -1 (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (+ (* -2 (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))))))) (pow beta 2))) (* 1/2 (/ (- (* -1 (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))))) (+ (* -2 (- (+ (* alpha (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1 (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (+ (* -2 (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))))))))) (* -1 (* (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))) (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))) (pow beta 3)))))) |
(- (+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta))) (* -2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(- (+ 2 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) (+ (* -2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -2 (/ (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (pow beta 2))) (* -1 (/ (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2)))))) |
(- (+ 2 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (+ (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (pow beta 3)))))) (+ (* -2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -2 (/ (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (pow beta 2))) (+ (* -2 (/ (- (+ (* alpha (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3))) (+ (* -1 (/ (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))) (+ (* -1 (/ (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (+ (* -2 (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (- alpha (* -1 (+ 2 alpha))) (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha)))))))))) (pow beta 3))) (* -1 (/ (* (- (* -1 (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))) (* -2 (- alpha (* -1 (+ 2 alpha))))) (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 3))))))))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* beta (+ 1 (/ alpha beta))) |
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta))) |
(+ 2 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) |
(+ 2 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (+ (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (pow beta 3)))))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* -1 (/ (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (pow beta 2))))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (+ (* -1 (/ (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (pow beta 2))) (* -1 (/ (- (+ (* alpha (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (+ (* -1 (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (pow beta 3)))))) |
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta))) |
(+ 1 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) |
(+ 1 (+ (* -1 (/ (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))) beta)) (+ (* -1 (/ (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (+ (* -1 (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 6 (+ alpha (* 2 alpha))) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (* -1 (+ 6 (+ alpha (* 2 alpha))))))))) (pow beta 3)))))) |
(+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta)))) |
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 2) beta))) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/2 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 alpha)) beta))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* -1/2 alpha)) beta))) |
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2) |
(+ 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))) |
(+ 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 (/ (* (+ 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 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 1 (* -1/2 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))) beta)) (* 1/2 (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* 2 (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2))))))) (* (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))))))) beta)) (* 1/2 (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))))) beta)) (* 1/2 (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* 2 (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2))))))) (* (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
| 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 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.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 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.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 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta))))))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (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 3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 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))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta)))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal -1/2 binary64)) |
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal -1/2 binary64)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 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 (fma.f64 (-.f64 (neg.f64 (*.f64 alpha (/.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 3 binary64)))) alpha (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) 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 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (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 #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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #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 (neg.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 #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 4 binary64)))))) alpha (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #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 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.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 1/2 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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.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)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha)) |
(+ 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 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.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 (/.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)))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) alpha)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.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 (fma.f64 (neg.f64 alpha) (-.f64 (/.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)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (/.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 (fma.f64 (neg.f64 alpha) (-.f64 (/.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)))) (neg.f64 (-.f64 (/.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)))))) alpha (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) 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) (neg.f64 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) beta) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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)))) |
(+.f64 (fma.f64 (-.f64 (*.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)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 #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 4 binary64)))) (-.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))))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #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)) |
(+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))) (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))) |
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#s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) 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 (+ 2 beta)) 1) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64)) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(fma.f64 (fma.f64 (-.f64 (/.f64 alpha (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)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal -1 binary64)) |
(/ alpha (+ 2 beta)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.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 (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 alpha (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)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 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) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(+ 1 (+ (* -1 (* alpha (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* alpha (+ (* -1 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))))) (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* alpha (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3)))) |
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(+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 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)) |
(+ 1 (+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(+ 1 (+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))) |
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(/ (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 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 #s(literal 3 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.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))) (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 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))))) (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3))) |
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(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) beta (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 1/2 binary64))) alpha) |
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta))) alpha) |
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) beta))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))))) alpha) |
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha) |
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(* 1/2 (/ (+ 2 beta) alpha)) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1/2 binary64)) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha) |
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(* -1/2 (/ (+ 2 beta) alpha)) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) |
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))) alpha) |
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))))) alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) #s(literal -1 binary64) beta) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) beta) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
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(/ (+ (* -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) |
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(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
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(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
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(- (+ (* -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) |
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alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal 1 binary64)) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) 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) |
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(/ (- (+ 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) |
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(/ (- (+ 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) |
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)) alpha) |
(* -1/6 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) |
(*.f64 (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64))) alpha) #s(literal -1/6 binary64)) |
(/ (+ (* -1/6 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (* 1/2 (/ (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) alpha))) alpha) |
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-2 |
#s(literal -2 binary64) |
(- (* 2 (/ 1 alpha)) 2) |
(-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) |
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(- (* 6 (/ 1 alpha)) 2) |
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(- (* 6 (/ 1 alpha)) (+ 2 (/ 16 (pow alpha 2)))) |
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(- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (+ 2 (/ 16 (pow alpha 2)))) |
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(* -1/3 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) |
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1 |
#s(literal 1 binary64) |
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(* alpha (+ 1 (/ beta alpha))) |
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(/ (+ (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (* -1 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha))) alpha) |
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(/ (+ (* -1 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (+ (* -1 (/ (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3)))) (pow alpha 2))) (* -1 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha)))) alpha) |
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3 |
#s(literal 3 binary64) |
(+ 3 (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
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(+ 3 (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2)))))) |
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(- (* -1 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64))) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) (* -1 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) (pow alpha 2)))) 1) |
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(- (+ (* -1 (/ (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3)))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha)) (* -1 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) (pow alpha 2))))) 1) |
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(- (+ 3 (+ (* -2 (/ beta alpha)) (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))) (* 2 (/ (+ 2 beta) alpha))) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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(- (* 1/2 (/ alpha beta)) 1/2) |
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(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2) |
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(* beta (- (/ alpha beta) 1)) |
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta) |
2 |
#s(literal 2 binary64) |
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(/.f64 alpha beta) |
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(* beta (+ 1 (/ alpha beta))) |
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
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(+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta)))) |
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(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* 2 (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2))))))) (* (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 alpha alpha) (neg.f64 (/.f64 (-.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) alpha (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal 2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64)))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64)))))))))) beta))) (fma.f64 (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal 2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64)))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) beta))) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(fma.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) (neg.f64 alpha)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (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 2 binary64)))) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) (neg.f64 alpha)) beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 alpha alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))))) beta))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) beta) #s(literal -1 binary64) alpha) (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) alpha (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) alpha (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))) beta))) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) #s(literal -1 binary64) alpha) (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 alpha alpha) (neg.f64 (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))))) beta))) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 426 |
| 0 | 102 | 424 |
| 1 | 517 | 413 |
| 2 | 4447 | 413 |
| 0 | 8888 | 409 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(/.f64 #s(literal 1 binary64) beta) |
(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)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 alpha beta) |
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.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 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))) |
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(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) #s(literal -1 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))))) |
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64)))) |
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(-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.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)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.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)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.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))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) alpha #s(literal -1 binary64)) |
(fma.f64 (neg.f64 alpha) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 alpha (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(*.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
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(*.f64 (/.f64 alpha (+.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)))) |
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(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) alpha) |
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(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(*.f64 alpha (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
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(/.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) |
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(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.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)))) |
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(fma.f64 beta #s(literal 1 binary64) alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
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(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) |
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(fma.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -6 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))) |
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -3/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) |
(pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) |
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) |
(/.f64 (pow.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 alpha beta)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 (-.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 2 binary64))) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)))) |
Compiled 74 133 to 5 845 computations (92.1% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 155 | 10 | 1 165 |
| Fresh | 7 | 9 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 165 | 22 | 1 187 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ▶ | 4.2% | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 48.9% | (fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) | |
| ▶ | 72.0% | (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 72.2% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) | |
| 56.0% | (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | |
| 27.7% | (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) | |
| 28.7% | (/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (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))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) | |
| 43.4% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| 43.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64)) | |
| 64.5% | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64))) | |
| 32.0% | (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) | |
| ▶ | 73.4% | (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
| 31.8% | #s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) | |
| 35.5% | #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))) | |
| 69.0% | #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))) | |
| ▶ | 29.8% | #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)) |
| 30.7% | #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)) | |
| ▶ | 31.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ✓ | 32.8% | #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)))) |
| ✓ | 39.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 45.1% | #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
Compiled 1 462 to 831 computations (43.2% saved)
| 1× | egg-herbie |
Found 19 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 | 128 | (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 | 512 | (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 | #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) | |
| cost-diff | 0 | (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) | |
| cost-diff | 0 | #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) | |
| cost-diff | 1088 | (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 423 |
| 0 | 85 | 417 |
| 1 | 163 | 405 |
| 2 | 331 | 399 |
| 3 | 918 | 393 |
| 4 | 3596 | 381 |
| 5 | 7653 | 381 |
| 0 | 8785 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.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 |
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
beta |
alpha |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) |
(-.f64 alpha beta) |
alpha |
beta |
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) |
(neg.f64 alpha) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(literal 1 binary64) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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 |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 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 |
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(literal 1 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) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(-.f64 beta #s(literal -1 binary64)) |
#s(literal 1 binary64) |
beta |
alpha |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) |
(-.f64 alpha beta) |
alpha |
beta |
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) |
(neg.f64 alpha) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 alpha beta) #s(literal -2 binary64))) #s(approx (- alpha beta) (-.f64 alpha beta)) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(approx (- alpha beta) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) |
#s(approx (- alpha beta) (-.f64 alpha beta)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(-.f64 alpha beta) |
(-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(literal 1 binary64) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.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 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.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 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.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 (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)) alpha) (-.f64 beta #s(literal -1 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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2103193418180358 | (/.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 | 2.6012408121654476 | (/.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 | 3.2860822249075072 | (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) | |
| accuracy | 43.41672176106955 | #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 | 0.00390625 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| accuracy | 6.87334130595035 | (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) | |
| accuracy | 17.606595685251282 | (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (neg.f64 alpha) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) | |
| accuracy | 17.606595685251282 | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 43.403062928373046 | #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 43.553450039949425 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| accuracy | 0.0078125 | (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 17.626011336685234 | (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
| 55.0ms | 181× | 0 | valid |
| 36.0ms | 55× | 1 | valid |
| 18.0ms | 20× | 2 | valid |
Compiled 792 to 97 computations (87.8% saved)
ival-div: 21.0ms (26% of total)ival-add: 16.0ms (19.8% of total)ival-sub: 13.0ms (16.1% of total)ival-mult: 13.0ms (16.1% of total)adjust: 10.0ms (12.4% of total)ival-neg: 4.0ms (4.9% of total)ival-pow2: 3.0ms (3.7% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) |
(-.f64 alpha beta) |
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) |
(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 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(neg.f64 alpha) |
(-.f64 #s(literal -2 binary64) (+.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 (/ 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)))) |
(* 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 (* -1 (/ alpha (+ 2 beta)))) |
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))) |
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(/ (+ 1 beta) alpha) |
(+ 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)))))))))) |
(+ (* -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)) |
(+ alpha (* -1 beta)) |
(* -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)) |
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* -1 alpha) |
(/ (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)) |
(/ (+ 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) |
(* 1/2 (/ (+ 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 beta) alpha) |
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha) |
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(/ 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) |
(* -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 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)))) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(+ 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 (* 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) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) |
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) 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 (/ (+ (* 1/2 (- (* -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 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 4) alpha) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) |
(* -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)) |
(* 1/2 (/ (- 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 (+ 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 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha))) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) 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))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(/ 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)))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta 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)))))) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (+ 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))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 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)))))))) |
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 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ alpha beta))) |
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) |
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta)) |
(+ 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)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(+ 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)) |
(/ (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))))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) 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)))))))) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 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))) |
(+ 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 (/ (* (+ 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 (* (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 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -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 | |
|---|---|---|---|---|
| 6.0ms | beta | @ | 0 | ((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (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 (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 4.0ms | beta | @ | inf | ((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (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 (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 4.0ms | beta | @ | -inf | ((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (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 (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 4.0ms | alpha | @ | -inf | ((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (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 (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha)) |
| 4.0ms | alpha | @ | 0 | ((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (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 (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ 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 | 1269 | 7121 |
| 1 | 4136 | 6815 |
| 0 | 8635 | 6497 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)))) |
(* 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 (* -1 (/ alpha (+ 2 beta)))) |
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))) |
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(/ (+ 1 beta) alpha) |
(+ 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)))))))))) |
(+ (* -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)) |
(+ alpha (* -1 beta)) |
(* -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)) |
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* -1 alpha) |
(/ (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)) |
(/ (+ 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) |
(* 1/2 (/ (+ 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 beta) alpha) |
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha) |
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(/ 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) |
(* -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 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)))) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(+ 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 (* 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) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) |
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) 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 (/ (+ (* 1/2 (- (* -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 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 4) alpha) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) |
(* -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)) |
(* 1/2 (/ (- 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 (+ 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 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha))) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) 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))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(/ 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)))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta 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)))))) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (+ 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))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 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)))))))) |
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 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ alpha beta))) |
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) |
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta)) |
(+ 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)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(+ 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)) |
(/ (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))))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) 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)))))))) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 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))) |
(+ 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 (/ (* (+ 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 (* (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 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -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 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (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))) #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)))) |
(+.f64 (fma.f64 (-.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)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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)))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 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 #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 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.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) (*.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 #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)))))) alpha)) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ alpha (+ 2 beta)))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))) |
(fma.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 #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))) |
(fma.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 #s(literal 1 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))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* 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 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (*.f64 #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))))) alpha)) |
(+ 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 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #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)))))) 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)) |
(+ (* -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 (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))))) alpha (/.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 (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)))))) alpha (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) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(* -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 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.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) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.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 alpha beta alpha)) alpha)) (*.f64 alpha alpha)) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.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)) |
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
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-1 |
#s(literal -1 binary64) |
(- (/ alpha (+ 2 beta)) 1) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
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(/ alpha (+ 2 beta)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
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(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
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(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ 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 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 alpha (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)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
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(/.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))) |
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(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
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(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(/ (+ 2 beta) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha) |
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(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha) |
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(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
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(/ beta alpha) |
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(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
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(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) 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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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
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(/ (+ (* -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) |
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(/ (+ (* -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) |
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(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
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(- (+ (* -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) |
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alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha) |
(+ 1 beta) |
(+.f64 #s(literal 1 binary64) beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
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(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
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(* (+ 2 beta) (- (* -2 beta) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
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(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
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(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
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(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
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(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
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(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
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(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) |
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(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.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))) alpha) |
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2 |
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(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
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(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
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(* beta (- (/ alpha beta) 1)) |
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(* (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))))) |
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(* 2 (/ (pow beta 3) alpha)) |
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(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
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(* (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)))) |
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(* (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))))) |
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(* (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)))))) |
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(* (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))))) |
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(- (/ alpha beta) 1) |
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(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
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(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
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(/ alpha beta) |
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(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(/ (pow beta 2) alpha) |
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(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2)))))) |
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(* 2 (/ (pow beta 3) (pow alpha 2))) |
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(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))) |
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(* (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))))))) |
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(* (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)))))))) |
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(+ 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 alpha (-.f64 #s(literal -2 binary64) 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 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1/2 binary64))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) alpha) (-.f64 #s(literal -2 binary64) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha 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))))) |
(*.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))) beta) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* -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))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.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))) #s(literal -1/2 binary64) (/.f64 (fma.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)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -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))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.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))) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) (fma.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)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) 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))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) 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))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) beta) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)))) beta)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha))) |
(* -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 alpha beta)) #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 (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))) alpha) #s(literal -1/2 binary64) (/.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)) (neg.f64 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 (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))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.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) #s(literal -1 binary64) (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))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(-.f64 (/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta)) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(/.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) alpha)) beta) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (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 alpha 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)))) |
(* -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 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 alpha beta)) (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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 331 |
| 0 | 85 | 329 |
| 1 | 418 | 317 |
| 2 | 3706 | 317 |
| 0 | 8500 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) |
(-.f64 alpha beta) |
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) |
(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 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(neg.f64 alpha) |
(-.f64 #s(literal -2 binary64) (+.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 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #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 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.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))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #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 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 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))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.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))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (+.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 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (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 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.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 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta)))) |
(/.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 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 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) (neg.f64 (+.f64 alpha beta)))))) |
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (-.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 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) |
(neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(fma.f64 #s(literal -1 binary64) (+.f64 alpha beta) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1 binary64) alpha (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(fma.f64 alpha #s(literal -1 binary64) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 (*.f64 beta beta) (+.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta))))) |
(-.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 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))) |
(-.f64 (/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(-.f64 (/.f64 #s(literal 4 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 -8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
(+.f64 (neg.f64 (+.f64 alpha #s(literal 2 binary64))) (neg.f64 beta)) |
(+.f64 (-.f64 #s(literal -2 binary64) alpha) (neg.f64 beta)) |
(+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -2 binary64)) |
(+.f64 (neg.f64 alpha) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(+.f64 #s(literal -2 binary64) (neg.f64 (+.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 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) alpha) |
(/.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))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 alpha)) (/.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 (-.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 (*.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) (neg.f64 (neg.f64 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 (neg.f64 alpha)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (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)) (/.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 35 406 to 4 134 computations (88.3% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 871 | 7 | 878 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 876 | 24 | 900 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | 4.2% | (fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 48.9% | (fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 72.0% | (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 72.2% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) | |
| 45.1% | (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)) | |
| 27.7% | (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) | |
| 43.4% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| 43.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64)) | |
| 64.5% | (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64))) | |
| 32.0% | (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) | |
| 73.4% | (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) | |
| 56.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) | |
| 31.8% | #s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) | |
| 35.5% | #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))) | |
| 69.0% | #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))) | |
| 30.7% | #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)) | |
| ✓ | 31.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 25.4% | #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)) | |
| 29.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.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)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))))) | |
| 25.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) | |
| 31.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) | |
| ✓ | 32.8% | #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)))) |
| ✓ | 39.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 2 246 to 761 computations (66.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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)) |
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#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)) |
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
#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)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #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)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.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)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)))))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (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))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#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)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
5 calls:
| 15.0ms | beta |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 13.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 13.0ms | alpha |
| 11.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | alpha |
| 73.4% | 1 | beta |
| 99.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.8% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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)) |
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#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)) |
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
#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)) |
| Outputs |
|---|
#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)) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.8% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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)) |
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#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)) |
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 19.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (-.f64 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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)) |
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) 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)) |
3 calls:
| 8.0ms | (/.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)) |
| 5.0ms | (/.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 |
|---|---|---|
| 99.4% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.4% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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)) |
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 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 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.4% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) |
3 calls:
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.4% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 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) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.3% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.3% | 3 | (/.f64 (-.f64 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ 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:
| 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 |
|---|---|---|
| 96.6% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 96.6% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 96.6% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.0% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.0% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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) (/.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(literal 1 binary64)) |
5 calls:
| 3.0ms | beta |
| 2.0ms | alpha |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 2 | beta |
| 61.4% | 2 | alpha |
| 66.7% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 66.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 66.7% | 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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#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)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | alpha |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 2 | alpha |
| 60.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 60.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 60.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.0% | 1 | alpha |
| 39.0% | 1 | beta |
| 39.0% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 39.0% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 39.0% | 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 | -0.9999989620461398 | -0.9998636967227185 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999989620461398 | -0.9998636967227185 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999987971847 | -0.9999989620461398 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999987971847 | -0.9999989620461398 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999987971847 | -0.9999989620461398 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999987971847 | -0.9999989620461398 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0071245311967248265 | 0.9999617397234939 |
| 0.0ms | -0.9998636967227185 | -0.9985312020625923 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0616533146716929 | -0.0003046421178014214 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0071245311967248265 | 0.9999617397234939 |
| 0.0ms | -0.9998636967227185 | -0.9985312020625923 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0616533146716929 | -0.0003046421178014214 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9985312020625923 | -0.0616533146716929 |
Compiled 16 to 16 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 665 |
| 1 | 140 | 665 |
| 2 | 175 | 665 |
| 3 | 214 | 665 |
| 4 | 260 | 665 |
| 5 | 347 | 665 |
| 6 | 364 | 665 |
| 7 | 385 | 665 |
| 8 | 465 | 665 |
| 9 | 578 | 665 |
| 10 | 646 | 665 |
| 11 | 734 | 665 |
| 12 | 849 | 665 |
| 13 | 982 | 665 |
| 14 | 1136 | 665 |
| 15 | 1276 | 665 |
| 16 | 1380 | 665 |
| 17 | 1447 | 665 |
| 18 | 1493 | 665 |
| 19 | 1509 | 665 |
| 20 | 1512 | 665 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #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)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #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)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) 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))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.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 -9007190247541737/9007199254740992 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 alpha beta))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 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 -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 -3602879701896397/72057594037927936 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) #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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #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 -4503149267407759/4503599627370496 binary64)) #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)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #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)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) 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 -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) 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))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha 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 -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha 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 -9007190247541737/9007199254740992 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 alpha beta))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 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 alpha beta))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -3602879701896397/72057594037927936 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 -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 -3602879701896397/72057594037927936 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) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -3602879701896397/72057594037927936 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) #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 (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #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 | 1821 | 31365 |
| 1 | 6168 | 30209 |
| 0 | 8020 | 28918 |
| 0 | 49 | 331 |
| 0 | 85 | 329 |
| 1 | 418 | 317 |
| 2 | 3706 | 317 |
| 0 | 8500 | 317 |
| 0 | 64 | 426 |
| 0 | 102 | 424 |
| 1 | 517 | 413 |
| 2 | 4447 | 413 |
| 0 | 8888 | 409 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4569 | 1878 |
| 0 | 8651 | 1750 |
| 0 | 1269 | 7121 |
| 1 | 4136 | 6815 |
| 0 | 8635 | 6497 |
| 0 | 2143 | 30861 |
| 1 | 7145 | 30861 |
| 0 | 8070 | 29162 |
| 0 | 44 | 345 |
| 0 | 74 | 333 |
| 1 | 385 | 333 |
| 2 | 3592 | 281 |
| 0 | 9079 | 280 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 353 to 491 computations (63.7% saved)
Compiled 1 356 to 246 computations (81.9% saved)
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