
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 50% | 28.1% | 28.1% | 43.8% | 0% | 0% | 0% | 2 |
| 75% | 42.1% | 14% | 43.8% | 0% | 0% | 0% | 3 |
| 87.5% | 49.2% | 7% | 43.8% | 0% | 0% | 0% | 4 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 5 |
| 96.9% | 54.4% | 1.8% | 43.8% | 0% | 0% | 0% | 6 |
| 98.4% | 55.3% | 0.9% | 43.8% | 0% | 0% | 0% | 7 |
| 99.2% | 55.7% | 0.4% | 43.8% | 0% | 0% | 0% | 8 |
| 99.6% | 56% | 0.2% | 43.8% | 0% | 0% | 0% | 9 |
| 99.8% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 10 |
| 99.9% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 11 |
| 100% | 56.1% | 0% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 605.0ms | 6 049× | 0 | valid |
| 457.0ms | 1 512× | 1 | valid |
| 148.0ms | 695× | 2 | valid |
ival-div: 403.0ms (47.6% of total)ival-add: 197.0ms (23.3% of total)ival-sub: 86.0ms (10.2% of total)adjust: 81.0ms (9.6% of total)ival->: 49.0ms (5.8% of total)exact: 15.0ms (1.8% of total)ival-and: 11.0ms (1.3% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 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 | 75 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 0 |
| - | 0 | 181 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 0 |
| - | 0 | 1 | 180 |
| number | freq |
|---|---|
| 0 | 181 |
| 1 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 366× | 0 | valid |
| 17.0ms | 112× | 1 | valid |
| 7.0ms | 34× | 2 | valid |
Compiled 161 to 44 computations (72.7% saved)
ival-add: 20.0ms (52.3% of total)ival-div: 9.0ms (23.5% of total)adjust: 5.0ms (13.1% of total)ival-sub: 4.0ms (10.5% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 71 |
| 1 | 73 | 67 |
| 2 | 167 | 67 |
| 3 | 440 | 65 |
| 4 | 1163 | 65 |
| 5 | 2800 | 65 |
| 6 | 5550 | 65 |
| 7 | 6406 | 65 |
| 8 | 6673 | 65 |
| 9 | 6796 | 65 |
| 10 | 6822 | 65 |
| 11 | 6822 | 65 |
| 12 | 6870 | 65 |
| 13 | 6969 | 65 |
| 14 | 6969 | 65 |
| 15 | 6969 | 65 |
| 16 | 7073 | 65 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 28 | 13 |
| 2 | 45 | 13 |
| 3 | 73 | 13 |
| 4 | 133 | 13 |
| 5 | 292 | 13 |
| 6 | 575 | 13 |
| 7 | 978 | 13 |
| 8 | 1693 | 13 |
| 9 | 2955 | 13 |
| 10 | 3280 | 13 |
| 11 | 3378 | 13 |
| 12 | 3432 | 13 |
| 13 | 3434 | 13 |
| 14 | 3434 | 13 |
| 15 | 3434 | 13 |
| 0 | 3434 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 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 | 575 | 48 |
| 7 | 978 | 48 |
| 8 | 1693 | 48 |
| 9 | 2955 | 48 |
| 10 | 3280 | 48 |
| 11 | 3378 | 48 |
| 12 | 3432 | 48 |
| 13 | 3434 | 48 |
| 14 | 3434 | 48 |
| 15 | 3434 | 48 |
| 0 | 3434 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 17.30937466213035 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 30.0ms | 56× | 1 | valid |
| 11.0ms | 183× | 0 | valid |
| 4.0ms | 17× | 2 | valid |
Compiled 98 to 22 computations (77.6% saved)
ival-div: 4.0ms (29.5% of total)ival-add: 4.0ms (29.5% of total)adjust: 2.0ms (14.7% of total)ival-sub: 2.0ms (14.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4609 | 1878 |
| 0 | 8705 | 1750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta)) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 8667 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))) |
(-.f64 (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (-.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (-.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (neg.f64 alpha) #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 beta (neg.f64 alpha))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (fma.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (-.f64 alpha beta)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 beta alpha)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (-.f64 alpha beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta) |
(fma.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(-.f64 beta (neg.f64 alpha)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) |
(+.f64 alpha beta) |
(+.f64 beta (*.f64 #s(literal 1 binary64) alpha)) |
(+.f64 beta alpha) |
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(*.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal 2 binary64))) alpha) |
(fma.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha) |
(fma.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64)) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
Compiled 16 463 to 2 397 computations (85.4% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 17 | 542 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 526 | 17 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 72.9% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 59.0% | (/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 48.4% | (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 58.8% | (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 73.0% | (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 65.9% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 72.9% | (/.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)) |
| 73.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) | |
| 48.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) | |
| ▶ | 27.8% | #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))) |
| 71.0% | #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))) | |
| 26.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.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))) | |
| ▶ | 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)) |
| 29.7% | #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)) | |
| 31.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 50.1% | #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))) | |
| ▶ | 35.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 948 to 572 computations (39.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| cost-diff | 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 | (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha 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 | (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 17280 | (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 490 |
| 0 | 84 | 540 |
| 1 | 154 | 536 |
| 2 | 315 | 529 |
| 3 | 991 | 417 |
| 4 | 4034 | 415 |
| 0 | 8514 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 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 |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.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 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
#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(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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
#s(literal 1 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 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 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.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 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 beta (+.f64 #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 |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (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(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 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(/.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 -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 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)) |
#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 #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 (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 #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)) |
(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 #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) |
(*.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 #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)))) |
(*.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 #s(literal 1 binary64) beta)) |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5224732173738948 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| accuracy | 1.2216992610741444 | (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) | |
| accuracy | 1.2563360619785642 | (/.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 | 44.1595205639418 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) | |
| accuracy | 17.30937466213035 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| accuracy | 46.2116145474697 | #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 | 41.427366770260086 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) | |
| accuracy | 0.05078125 | (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) | |
| accuracy | 0.0546875 | (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) | |
| accuracy | 17.310795445028102 | (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) |
| 67.0ms | 183× | 0 | valid |
| 44.0ms | 56× | 1 | valid |
| 20.0ms | 17× | 2 | valid |
Compiled 957 to 99 computations (89.7% saved)
ival-div: 32.0ms (31.6% of total)ival-add: 27.0ms (26.6% of total)ival-pow2: 10.0ms (9.9% of total)ival-sub: 10.0ms (9.9% of total)ival-mult: 10.0ms (9.9% of total)adjust: 9.0ms (8.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
#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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha 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) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(+.f64 alpha 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) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))))))))) |
(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ 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 (/ 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 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* 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)))) |
(+ 1 (+ (* 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)))) |
(/ (+ 2 beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 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)) |
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beta |
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(/ (+ 2 (* 2 beta)) alpha) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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-1 |
(- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1) |
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(/ (pow beta 2) (pow alpha 2)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -2 (/ alpha beta)) |
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(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1) |
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(+ 1 beta) |
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(* (+ 2 beta) (- (* -2 beta) 2)) |
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(/ (+ 1 beta) 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) |
1 |
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alpha |
(* alpha (+ 1 (/ beta alpha))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
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(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
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(/ (pow beta 2) (pow (+ 2 alpha) 2)) |
(* (pow beta 2) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) |
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(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(* -1 (/ alpha (+ 2 alpha))) |
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(* -1 (/ (+ 2 alpha) alpha)) |
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(* 2 (- (* 4 (/ 1 alpha)) 2)) |
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(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha) |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(/ (+ 2 alpha) alpha) |
(+ 1 (+ (* -1 (/ (* beta (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 2))) (* 2 (/ 1 alpha)))) |
(+ 1 (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha)))) |
(+ 1 (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 alpha) (* (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) alpha)) (+ (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow alpha 2)) (/ (* (pow (+ 2 alpha) 3) (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 3)))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 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)))))))) |
(/ 4 alpha) |
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (* -1 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
(- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 2 (* 2 alpha))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))))) (pow beta 3)))))) |
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(- (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 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))))) |
(+ 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)))))) |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 2 (+ (* -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))))) |
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3))))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ 1 beta))) |
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
(* beta (+ 1 (/ alpha beta))) |
(* 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)))))))) |
(/ (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 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) (* -1/2 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))))) beta)) (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) beta))) |
(+ 1 (* -2 (/ (+ 2 alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (+ (/ (pow alpha 2) beta) (/ (pow (+ 2 alpha) 2) beta))) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (pow (+ 2 alpha) 3)))) beta)) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 2) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ 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 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -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 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) 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))))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | beta | @ | -inf | ((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- 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 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -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) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha)) |
| 45.0ms | alpha | @ | inf | ((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- 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 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -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) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha)) |
| 31.0ms | beta | @ | 0 | ((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- 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 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -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) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha)) |
| 14.0ms | alpha | @ | 0 | ((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- 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 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -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) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha)) |
| 14.0ms | alpha | @ | -inf | ((+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) (/ (+ (* (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta)))))) 1) 2) (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (pow (/ beta (+ 2 (+ alpha beta))) 2) (/ (+ (/ (- 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 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -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) (pow (/ alpha (+ 2 (+ alpha beta))) 2) (/ 1 (+ (/ beta (+ 2 (+ alpha beta))) (/ alpha (+ 2 (+ alpha beta))))) (+ alpha beta) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) (/ (pow (- beta -2) 2) alpha)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2194 | 17500 |
| 1 | 7582 | 17500 |
| 0 | 8582 | 16420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))))))))) |
(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ 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 (/ 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 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* 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)))) |
(+ 1 (+ (* 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)))) |
(/ (+ 2 beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 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)) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(+ 1 (+ (* -1 (/ (* alpha (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 2))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 beta) (* (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) beta)) (+ (/ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (pow beta 2)) (/ (* (pow (+ 2 beta) 3) (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 3)))))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta)))) |
beta |
(+ alpha beta) |
(* -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)) |
(/ (pow (+ 2 beta) 2) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))) alpha) |
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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
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(/ (- beta (* -1 (+ 2 beta))) alpha) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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(* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(- (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4)) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(- (* beta (+ (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (+ (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(/ (pow beta 2) (pow (+ 2 alpha) 2)) |
(* (pow beta 2) (+ (* -1 (* beta (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) |
(* (pow beta 2) (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) |
(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))) (/ 1 (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (* 4 (/ 1 (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (- (* -2 alpha) 2) beta) |
(* -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 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) |
(+ (* 1/2 (+ 1 (* -1 (/ 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 (* -1 (/ 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 (* -1 (/ alpha (+ 2 alpha)))) |
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ 1 (+ (* -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))))))) |
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(* -1 (/ (+ 2 alpha) alpha)) |
(+ (* -1 (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha))) |
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) alpha))))) |
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* beta (+ (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (pow alpha 2))) (* -1 (/ (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 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))) |
(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(/ (+ 2 alpha) alpha) |
(+ 1 (+ (* -1 (/ (* beta (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 2))) (* 2 (/ 1 alpha)))) |
(+ 1 (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 1 alpha)))) |
(+ 1 (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 2 alpha) (* (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) alpha)) (+ (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))) (pow alpha 2)) (/ (* (pow (+ 2 alpha) 3) (* (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (pow alpha 3)))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow alpha 2))) (* -1 (/ (* (pow (+ 2 alpha) 3) (pow (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2)) (pow alpha 3)))))) (/ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow alpha 2)))) (* 2 (/ 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)))))))) |
(/ 4 alpha) |
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (* -1 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
(- (+ 2 (/ (* (pow alpha 2) (+ 2 (* 2 alpha))) (pow beta 3))) (+ (* -2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (+ (* -2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))))) (pow beta 3))) (+ (* -1 (/ (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 2 (* 2 alpha))) (+ (* -2 (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -1 (pow (+ 2 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))))) (+ (* -1 (* (+ 2 (* 2 alpha)) (+ (* -2 (+ 4 (* 2 alpha))) (+ (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))))))) (pow beta 3)))))) |
(+ 1 (* -1 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(- (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 2)))) (* -1 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 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))))) |
(+ 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)))))) |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 2 (+ (* -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))))) |
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3))))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ 1 beta))) |
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
(* beta (+ 1 (/ alpha beta))) |
(* 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)))))))) |
(/ (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 (+ (* -2 (/ (+ 2 alpha) beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) (* -1/2 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* 1/2 (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))))) beta)) (* -1/2 (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) beta))) |
(+ 1 (* -2 (/ (+ 2 alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (+ (/ (pow alpha 2) beta) (/ (pow (+ 2 alpha) 2) beta))) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* 2 (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)))) (* 2 (pow (+ 2 alpha) 3)))) beta)) (+ (* -4 (pow (+ 2 alpha) 2)) (+ (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -4 (/ (pow (+ 2 alpha) 2) beta)) (/ (pow (+ 2 alpha) 2) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* 2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -4 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2))) beta)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (+ 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 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -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 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) 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))))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 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 (- (+ (* -1 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 (fma.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)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.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)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 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 (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (/ beta (pow (+ 2 beta) 2))) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (/ beta (+ 2 beta)))) |
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(* 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 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta))))))))) (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3)))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* alpha (+ (* -1/2 (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ 1 (* beta (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))) (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 4 (/ 1 (* beta (pow (+ 2 beta) 3)))) (/ 1 (* (pow beta 2) (+ 2 beta))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ (/ beta (pow (+ 2 beta) 3)) (+ (/ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)) (/ (* (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))) (+ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ (* beta (+ 4 (* 2 beta))) (+ 2 beta)))) (* beta (+ 2 beta)))) (+ (/ 1 (* beta (pow (+ 2 beta) 2))) (/ (* (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (- (/ beta (pow (+ 2 beta) 2)) (+ (/ 1 (+ 2 beta)) (/ (* beta (+ 4 (* 2 beta))) (pow (+ 2 beta) 3))))) (* beta (+ 2 beta)))))))))))))) |
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#s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) beta) (/.f64 (fma.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)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.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)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))))) alpha (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 beta (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 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)))) |
(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* -1 (/ (* alpha (* (pow beta 2) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 4))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 beta beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 beta 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 2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64)))))) alpha (neg.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 beta 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 2 binary64))))))) alpha (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))))) (+ (* -1 (/ (* (pow beta 2) (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 6))) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 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)))) (*.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 (+.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 (*.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 #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 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.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 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (-.f64 (/.f64 #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))) |
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ 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 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.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 (* 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 #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 (*.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)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #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 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ 1 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ 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 (neg.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 (+ (* -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)))) |
(+.f64 (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))) #s(literal 1 binary64)) |
(+ 1 (+ (* 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)))) |
(+.f64 (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))) #s(literal 1 binary64)) |
(/ (+ 2 beta) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) alpha (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) alpha)) (*.f64 alpha alpha)) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
(neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(/.f64 (fma.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) alpha) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (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)) |
(/.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)))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(+ 1 (+ (* -1 (/ (* alpha (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 2))) (* 2 (/ 1 beta)))) |
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(+ 1 (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 beta) (* (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) beta)) (+ (/ (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))) (pow beta 2)) (/ (* (pow (+ 2 beta) 3) (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (pow beta 3)))))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow beta 2))) (* -1 (/ (* (pow (+ 2 beta) 3) (pow (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2)) (pow beta 3)))))) (/ (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow beta 2)))) (* 2 (/ 1 beta)))) |
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beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (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)) |
(/ (pow (+ 2 beta) 2) alpha) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha))))))) alpha) |
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(/ (- (+ 2 (+ (* -2 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ (* -1 (pow (+ 2 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 2))) (+ (* -1 (/ (* (+ 2 (* 2 beta)) (+ (* -2 (+ 4 (* 2 beta))) (+ (* -1 (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* beta (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* -1 (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (+ (/ (pow beta 2) alpha) (/ (pow (+ 2 beta) 2) alpha)))))))))))) (/ (* (pow beta 2) (+ 2 (* 2 beta))) (pow alpha 2))) alpha) |
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(+ 1 beta) |
(+.f64 #s(literal 1 binary64) beta) |
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(* (+ 2 beta) (- (* -2 beta) 2)) |
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1 |
#s(literal 1 binary64) |
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alpha |
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(* -1 (/ (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 3) (* beta (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))) (* beta (pow (+ 2 beta) 2))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta))))) (+ (* -1 (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3))))))) (+ (* (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2))))) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta)))) (+ (* (pow (+ 2 beta) 2) (- (pow (+ 2 beta) 2) (* beta (+ 2 beta)))) (pow (+ 2 beta) 4)))))) (+ (* -1 (* (pow beta 2) (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2))) (+ (* beta (pow (+ 2 beta) 3)) (* (pow beta 2) (- (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (* 2 (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))))) alpha)) (+ (* (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) (- (* beta (+ 2 beta)) (+ (* -2 (* (+ 2 beta) (+ 2 (+ beta (* -1 beta))))) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (* 2 (pow (+ 2 beta) 2)))))) (+ (* (pow (+ 2 beta) 2) (+ 2 (+ beta (* -1 beta)))) (pow (+ 2 beta) 3)))))) (+ (* beta (pow (+ 2 beta) 2)) (* (pow beta 2) (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta))))))) alpha)) (+ (* -1 (pow (+ 2 (+ beta (+ (* -2 (+ 2 beta)) (* -1 beta)))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow beta 2))))) (* beta (+ 2 beta))) alpha)))))) alpha)) |
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(* 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 (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (- (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2))) (+ (* -1 (/ (* (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha)))) (* alpha (+ 2 alpha)))) (+ (/ 1 (* alpha (pow (+ 2 alpha) 2))) (/ (* (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (+ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha)))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 4))) (+ (* 4 (/ 1 (* alpha (pow (+ 2 alpha) 3)))) (/ 1 (* (pow alpha 2) (+ 2 alpha)))))))) (* 1/2 (+ (* -1 (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (* alpha (+ 2 alpha))) (+ (/ alpha (pow (+ 2 alpha) 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 2)) (/ (* (+ (* (pow (+ 2 alpha) 2) (- (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* alpha (+ 4 (* 2 alpha))) (+ 2 alpha))) (- (/ alpha (pow (+ 2 alpha) 2)) (+ (/ 1 (+ 2 alpha)) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))))) (* alpha (+ 2 alpha))))))))))))) |
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(* 2 (- (* 4 (/ 1 alpha)) 2)) |
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(/ (+ 2 alpha) alpha) |
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(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
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(/ 4 alpha) |
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(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha))) |
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2 |
#s(literal 2 binary64) |
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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)) |
(*.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) alpha) #s(literal 2 binary64)) |
(* (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) (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 (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 (pow alpha 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) alpha) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha)) (*.f64 beta beta))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))) (pow.f64 beta #s(literal 3 binary64))) |
(* (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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(/ (pow alpha 2) (pow beta 2)) |
(*.f64 (/.f64 alpha beta) (/.f64 alpha beta)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
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(+ 1 (* 2 (/ 1 beta))) |
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(- (+ 1 (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2)))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 beta beta))) |
(- (+ 1 (+ (* -1 (/ (+ (* -2 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))) (+ (* -2 (- 4 (* -1 (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha)))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* 2 (/ 1 beta)) (/ 4 (pow beta 2))))) (* -1 (/ (+ (* -1 (pow (+ 2 alpha) 2)) (* alpha (+ 2 alpha))) (pow beta 2)))) |
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(* beta (+ 1 (/ alpha beta))) |
(*.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* 2 (/ (pow beta 3) (pow alpha 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (pow.f64 beta #s(literal 3 binary64)) alpha)) |
(* (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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(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta))))) |
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(+ 2 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
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(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* alpha (pow (+ 2 alpha) 2)) (* (pow alpha 2) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))))) (+ (* -2 (* (+ 2 alpha) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* -1 (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (* 2 (pow (+ 2 alpha) 2))) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) (- (* alpha (+ 2 alpha)) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (* 2 (pow (+ 2 alpha) 2)))))) (+ (* (pow (+ 2 alpha) 2) (+ 2 (+ alpha (* -1 alpha)))) (pow (+ 2 alpha) 3)))))) beta)) (* alpha (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (+ 2 (+ alpha (* -1 alpha))))) (+ (* -1 (pow (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (pow alpha 2))))) beta)) (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha))))) beta))) |
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(+ 1 (* 1/2 (/ (+ 2 (+ alpha (+ (* -2 (+ 2 alpha)) (* -1 alpha)))) beta))) |
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(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
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(* -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))))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
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(* -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))))) |
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(* -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))))) |
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(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
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(* -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))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.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) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) beta))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #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))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.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) (neg.f64 (/.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 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))) alpha) #s(literal -1/2 binary64) (neg.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))) (/.f64 #s(literal 1 binary64) alpha)) beta))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 beta #s(literal 3 binary64)))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta))) (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))))) beta) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta)) |
(+ 1 (+ (* -1 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -1 (* (+ 2 (+ alpha (* -1 alpha))) (- (pow (+ 2 alpha) 2) (* alpha (+ 2 alpha))))) (+ (* (+ 2 (+ alpha (* -1 alpha))) (- (* alpha (+ 2 alpha)) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2)))) (pow (+ 2 alpha) 3)))) beta)) (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 (+ alpha (* -1 alpha))) 2)) (pow (+ 2 alpha) 2))) beta)) (+ 2 (+ alpha (* -1 alpha)))) beta))) |
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) (fma.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta))) (fma.f64 (pow.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64)))) |
(* -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)))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64) (neg.f64 (-.f64 (*.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)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64)))) |
(* -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)))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 2 binary64))))) beta))) beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (pow.f64 beta #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 373 |
| 0 | 84 | 371 |
| 1 | 442 | 309 |
| 2 | 4174 | 309 |
| 0 | 8798 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
#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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha 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) |
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(+.f64 alpha 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) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #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 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #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)) |
(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)) |
(/.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 (-.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)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 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)) (-.f64 (/.f64 (-.f64 beta alpha) (-.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 -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 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)) (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #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)))) |
(/.f64 #s(literal 1 binary64) (/.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)))) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 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 (-.f64 beta alpha) (+.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))) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
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(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 alpha)) (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha))) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(/.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (+.f64 alpha beta)) |
(*.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))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64))) |
(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)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) |
(/.f64 #s(literal 1 binary64) (/.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))))) |
(fma.f64 #s(literal 1 binary64) beta alpha) |
(fma.f64 beta #s(literal 1 binary64) alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 alpha beta) |
(+.f64 beta 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)) 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 (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 #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 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha)) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64)) alpha) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) |
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) |
(pow.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha) |
(/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) |
(neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
Compiled 51 519 to 5 512 computations (89.3% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 945 | 8 | 953 |
| Fresh | 4 | 8 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 952 | 18 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| 72.9% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 59.0% | (/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 48.4% | (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 59.0% | (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 49.2% | (/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 65.9% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 72.9% | (/.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)) |
| ▶ | 73.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
| ▶ | 48.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
| ▶ | 31.3% | #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))) |
| 71.0% | #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))) | |
| 31.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 26.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) | |
| 50.1% | #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))) | |
| 27.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) | |
| ▶ | 27.9% | #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)))) |
| ✓ | 35.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 27.2% | #s(approx (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha))) alpha))) alpha))) |
Compiled 1 088 to 650 computations (40.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) | |
| cost-diff | 0 | (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) | |
| cost-diff | 512 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 1024 | (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) | |
| cost-diff | 0 | #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #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 (-.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 | 0 | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 1216 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 436 |
| 0 | 80 | 430 |
| 1 | 143 | 426 |
| 2 | 239 | 426 |
| 3 | 430 | 424 |
| 4 | 1013 | 406 |
| 5 | 2644 | 406 |
| 6 | 6222 | 406 |
| 0 | 8158 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (+.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(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 |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(-.f64 beta #s(literal -2 binary64)) |
#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 -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 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) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(literal 2 binary64) |
(/.f64 #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(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 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)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #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 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 beta alpha) |
beta |
alpha |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.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)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)) |
#s(approx (+ (+ alpha beta) 2) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(-.f64 beta #s(literal -2 binary64)) |
#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 -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) |
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 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) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(literal 2 binary64) |
(/.f64 #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))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (/.f64 #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))) | |
| accuracy | 0.2269325683790941 | (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) | |
| accuracy | 15.045718695082998 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| accuracy | 32.32065230648977 | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) | |
| accuracy | 0.0 | #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) | |
| accuracy | 5.26489928976741 | (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) | |
| accuracy | 17.30937466213035 | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) alpha) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) | |
| accuracy | 40.53863889417057 | #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) | |
| accuracy | 46.2116145474697 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| accuracy | 18.59837950107235 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| accuracy | 46.2116145474697 | #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 | 0.015625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) | |
| accuracy | 0.078125 | (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 17.30937466213035 | (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
| 113.0ms | 115× | 1 | valid |
| 109.0ms | 118× | 0 | valid |
| 19.0ms | 23× | 2 | valid |
Compiled 789 to 95 computations (88% saved)
ival-div: 50.0ms (37.7% of total)adjust: 40.0ms (30.2% of total)ival-add: 13.0ms (9.8% of total)ival-sub: 12.0ms (9% of total)ival-mult: 9.0ms (6.8% of total)ival-pow: 7.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(/.f64 #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))) |
| 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)))))))))) |
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 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)))) |
(+ 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))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* alpha (- (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* alpha (- (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (+ (* alpha (- (+ (* -4 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* 2 (/ (* (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) |
(+ (* alpha (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) |
(+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) |
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(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
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(/ (+ 2 beta) beta) |
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(* -2 alpha) |
(- (* 2 (/ beta (+ 2 beta))) 2) |
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(/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
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(/ (+ 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)))) |
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(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(/ (- (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (* 1/2 beta)) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))))) alpha) |
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-1/4 |
(- (* 1/2 (/ beta alpha)) (+ 1/4 (* 1/16 (/ (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) alpha)))) |
(- (+ (* -1/4 (/ (pow beta 2) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/4 (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) (pow alpha 2))) (+ (* 1/16 (/ (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) alpha)) (* 1/16 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2))))))) |
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1 |
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(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/16 (/ (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2)) alpha)))) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2)))) alpha)) (* -1/8 (- beta (* -1 (+ 2 beta))))) alpha)) 1/4) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(/ 2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
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(- 1 (/ alpha (+ 2 alpha))) |
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(* -1 (/ alpha (+ 2 alpha))) |
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(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ -1 beta) |
(/ (- beta 1) beta) |
(/ 1 beta) |
(/ (- (* -2 alpha) 2) beta) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
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2 |
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beta |
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(* -1 (* beta (+ (* -1 (/ (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (/ (+ (* -2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (* beta (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | beta | @ | inf | ((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) |
| 22.0ms | alpha | @ | 0 | ((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) |
| 11.0ms | beta | @ | -inf | ((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) |
| 11.0ms | alpha | @ | inf | ((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) |
| 10.0ms | beta | @ | 0 | ((/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1) (/ (- beta alpha) (- (+ alpha beta) -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (+ (/ (- beta -2) alpha) 1) alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) (/ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2)) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -2) (/ (- -2 (+ alpha beta)) (- alpha beta)) (* -2 alpha) (+ (+ alpha beta) 2) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2) (/ 1 (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 2) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2004 | 23395 |
| 1 | 6681 | 23395 |
| 0 | 8407 | 22048 |
| 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)))))))))) |
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) |
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(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(/ (+ 2 beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta)))) |
(* -2 alpha) |
(- (* 2 (/ beta (+ 2 beta))) 2) |
(- (+ (* -2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 2 (/ beta (+ 2 beta)))) 2) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) 2) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))) 2) |
(/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)) |
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* 2 (/ (* (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))))))) (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 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 |
(- (/ 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 beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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1 |
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(/ (pow alpha 2) (* (pow (+ 2 alpha) 2) (- (* -2 (/ alpha (+ 2 alpha))) 2))) |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(* -1 (/ (+ 2 alpha) alpha)) |
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(+ 2 alpha) |
(- (* -2 (/ alpha (+ 2 alpha))) 2) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) 2) |
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(/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)) |
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beta |
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(* -1 (* beta (- (* -1 (/ (* alpha (+ 1 (* 2 (/ 1 alpha)))) beta)) 1))) |
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(- (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha)))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha)))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) |
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1 (/ (- (+ (* -1 (* (+ 2 alpha) (+ (* -1 (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))))))) (+ (* -1 (* (pow (+ 2 alpha) 2) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 4) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 4) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 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alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 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(* -1 (* beta (+ (* -1 (/ (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) alpha) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (/ (+ (* -2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(* -1 (* beta (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
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(+ 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)))) |
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(+ 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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(+ 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)))) |
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(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
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(+ (* 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))) |
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(- 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)) |
(/ -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)) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(- (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(-.f64 (*.f64 (/.f64 beta (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.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 2 binary64) #s(literal -2 binary64))) (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (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 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (*.f64 (/.f64 beta (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))))) |
(- (+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* alpha (- (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
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#s(literal -2 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (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 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (/.f64 beta 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(+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) |
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(+ (* alpha (- (+ (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (+ (/ (* (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))))) (/ 1 (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (+ (/ (* (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2))) (- (* -2 (/ beta (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2))) (/ (* (pow beta 2) (- (+ (* -2 (* (+ 4 (* 2 beta)) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (+ (* -2 (* (pow (+ 2 beta) 2) (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta))))) 2)) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))))) (/ (* (pow beta 2) (+ (* -2 (* (pow (+ 2 beta) 2) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* (+ 4 (* 2 beta)) (- (* 2 (/ beta (+ 2 beta))) 2)))) (* (pow (+ 2 beta) 4) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ (pow beta 2) (* (pow (+ 2 beta) 2) (- (* 2 (/ beta (+ 2 beta))) 2)))) |
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(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -2 binary64)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 beta beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(/ (+ 2 beta) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 1 beta)))) |
(+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) alpha (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta)) alpha (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(* -2 alpha) |
(*.f64 #s(literal -2 binary64) alpha) |
(- (* 2 (/ beta (+ 2 beta))) 2) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) |
(- (+ (* -2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 2 (/ beta (+ 2 beta)))) 2) |
(fma.f64 (*.f64 #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)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) 2) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -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 #s(literal -2 binary64))) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))) 2) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -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 -2 binary64))) alpha #s(literal -2 binary64))) |
(/ 1 (- (* 2 (/ beta (+ 2 beta))) 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64))) |
(+ (* 2 (/ (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(fma.f64 (*.f64 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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (+ (* -2 (/ (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))) (* 2 (/ (* (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))) (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (- (* 2 (/ beta (+ 2 beta))) 2))))))) (+ (* -4 (/ (pow (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) 2) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 3))) (* -2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2)))))) (* -2 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (- (* 2 (/ beta (+ 2 beta))) 2) 2))))) (/ 1 (- (* 2 (/ beta (+ 2 beta))) 2))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (*.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)))) (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.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)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))))) alpha (*.f64 #s(literal 2 binary64) (/.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)))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(* 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) |
(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64)) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
(*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.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)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #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) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2)))))))) |
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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 (fma.f64 #s(literal 2 binary64) beta (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) #s(literal 2 binary64)) (/.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) |
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha)))) (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) |
(/ (- (+ 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 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha))))) (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 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) #s(literal -1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64) #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 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 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) (neg.f64 beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 1 binary64))) |
(* -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 (/.f64 alpha beta) #s(literal -2 binary64)) |
(* -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))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 beta alpha)) alpha) |
(/ (- (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (* 1/2 beta)) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))))) alpha) |
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) alpha) |
(/ (- (+ (* -1/4 (/ (pow beta 2) alpha)) (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (+ (* 1/16 (/ (pow (- (* -1 beta) (+ 2 beta)) 2) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 beta))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) alpha)) (+ (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))) (* 1/16 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) alpha))))) alpha) |
(/.f64 (fma.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal -1/4 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal 2 binary64)) alpha) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) beta)))) (fma.f64 #s(literal 1/16 binary64) (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta)))) alpha)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) alpha)))) alpha) |
(/ (- (+ (* -1/2 (/ (* (+ (* 1/16 (pow (- (* -1 beta) (+ 2 beta)) 2)) (* 1/8 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* -1/4 (/ (pow beta 2) alpha)) (+ (* -1/8 (- (* -1 beta) (+ 2 beta))) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 2 beta) (pow (- (* -1 beta) (+ 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (pow (- (* -1 beta) (+ 2 beta)) 2) alpha)) (+ (* 1/8 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 beta)))))))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))))))) (pow alpha 2))) (+ (* -1/4 (/ (* (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta)))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) alpha)) (+ (* -1/4 (/ (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) (- (* 1/2 beta) (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))))) (pow alpha 2))) (+ (* 1/16 (+ (* -4 (+ 4 (* 2 beta))) (* -2 (- (* -1 beta) (+ 2 beta))))) (+ (* 1/16 (/ (+ (* -4 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))))) (pow alpha 2))) (* 1/16 (/ (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 4 (* 2 beta)) (- (* -1 beta) (+ 2 beta)))) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))))) alpha)))))))) alpha) |
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#s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta)))) #s(literal 1/16 binary64)))) alpha) (fma.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))) alpha)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta))))) alpha) (/.f64 (fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal -1/16 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) 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-1/4 |
#s(literal -1/4 binary64) |
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1 |
#s(literal 1 binary64) |
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-4 |
#s(literal -4 binary64) |
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(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
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(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
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(* -1 (/ (- (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (pow beta 2)) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2)))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta)))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/4 (pow beta 2)) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta)))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (+ 2 beta) (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta)))))) (+ (* -1/2 (* (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2))))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (pow (+ 2 beta) 2) (pow (- beta (* -1 (+ 2 beta))) 2)))))) (+ (* -1/4 (* (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (+ (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta))))))) (* 1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))))))))))))) alpha)) (+ (* -1/2 (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta))))) (+ (* -1/8 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/16 (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2)))))) (+ (* -1/4 (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))))) (* 1/16 (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/4 (pow beta 2)) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (+ (* -1/2 beta) (* -1/8 (- beta (* -1 (+ 2 beta)))))) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) |
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(- (* -1 (/ (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) 1/4) |
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(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (* -1/2 beta)) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) 1/4) |
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(- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta)))))) alpha)) (+ (* -1/4 (/ (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/4 (pow beta 2)) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))))))))) alpha)) (+ (* -1/4 (pow beta 2)) (* 1/16 (/ (+ (* -4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 4 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))))) alpha))))) (+ (* -1/4 (* (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))) (- (* -1/2 beta) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))))) (* 1/16 (+ (* -4 (pow (+ 2 beta) 2)) (+ (* -2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 4 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))))))) alpha)) (* -1/2 beta)) (* 1/16 (+ (* -2 (- beta (* -1 (+ 2 beta)))) (* 8 (+ 2 beta))))) alpha)) 1/4) |
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(- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha))) |
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(- (* -1 (/ (+ (* -1 (- (* -1 (+ 2 beta)) beta)) (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) alpha))) alpha)) 1) |
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(- (* -1 (/ (+ (* -1 (- (* -1 (+ 2 beta)) beta)) (* -1 (/ (+ (* beta (- (* -1 (+ 2 beta)) beta)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) alpha)) alpha))) alpha)) 1) |
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(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4) |
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(- (* -1/8 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/4) |
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(- (* -1 (/ (- (+ (* -1/8 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/16 (/ (pow (- beta (* -1 (+ 2 beta))) 2) alpha))) (* -1/8 (- beta (* -1 (+ 2 beta))))) alpha)) 1/4) |
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(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2))) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/8 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/16 (/ (* (+ 2 beta) (pow (- beta (* -1 (+ 2 beta))) 2)) alpha)))) (+ (* -1/8 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/16 (pow (- beta (* -1 (+ 2 beta))) 2)))) alpha)) (* -1/8 (- beta (* -1 (+ 2 beta))))) alpha)) 1/4) |
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(* 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))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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(/ 2 (- 1 (/ alpha (+ 2 alpha)))) |
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(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
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(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
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(* -1 (/ (+ 2 alpha) alpha)) |
(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) |
(+ (* -1 (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha))) |
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(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) alpha))))) |
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(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(- (* -2 (/ alpha (+ 2 alpha))) 2) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) 2) |
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(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) 2) |
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(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))) 2) |
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(/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -2 binary64) #s(literal -2 binary64))) |
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2))) |
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(+ (* beta (- (* -1 (* beta (+ (* -4 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 3))) (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2))) |
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 3))) (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- (* -2 (/ alpha (+ 2 alpha))) 2))) (+ (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))) (* 4 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 3)))))))) (+ (* -4 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 3))) (* -2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- (* -2 (/ alpha (+ 2 alpha))) 2) 2))))) (/ 1 (- (* -2 (/ alpha (+ 2 alpha))) 2))) |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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(+ 1 (* 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 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 beta beta)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64))) |
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
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(-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))))))))))) |
(* -1/2 (/ beta (- alpha (* -1 (+ 2 alpha))))) |
(*.f64 (/.f64 beta (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal -1/2 binary64)) |
(* beta (- (/ alpha (* beta (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(*.f64 (-.f64 (/.f64 alpha (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) |
(* beta (- (+ (* -1/2 (/ (pow alpha 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (/ alpha (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (* (pow beta 2) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 beta beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (/.f64 alpha (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta))) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 beta beta)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 beta beta)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))))) beta) |
(* beta (- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* -1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))))) (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha)))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (pow beta 3))) (+ (* -1/2 (/ (pow alpha 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (/ alpha (* beta (- alpha (* -1 (+ 2 alpha))))))) (+ (* -1/2 (/ (* (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))) (* (pow beta 2) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/4 (/ (+ (* -2 (* (+ 4 (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 alpha alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (/.f64 (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (-.f64 alpha (+.f64 #s(literal -2 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(pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) beta) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) (pow.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))))))) beta) |
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta))) |
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))) (/.f64 #s(literal 4 binary64) beta)))) |
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64)))))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta))) (/.f64 #s(literal 4 binary64) beta)))) |
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) (/.f64 alpha beta) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 alpha alpha) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta)) (neg.f64 (*.f64 (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) alpha) beta) (/.f64 alpha beta)))) #s(literal 1 binary64)) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)) beta) |
(* -2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) |
(*.f64 (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta) #s(literal -2 binary64)) |
(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) beta) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal 2 binary64) (*.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal -2 binary64))) beta) |
(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)))) beta) |
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(/ (+ (* -2 (- alpha (* -1 (+ 2 alpha)))) (+ (* -2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))) (+ (* 2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3)))))) beta) |
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(* beta (- (* -1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha))))))) |
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(* beta (- (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow beta 2))) (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
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(* beta (- (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))))) (pow beta 3))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))))) |
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(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
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(* -1 (* beta (- (* -1 (/ (* alpha (+ 1 (* 2 (/ 1 alpha)))) beta)) 1))) |
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(- (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) |
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(- (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ alpha (- alpha (* -1 (+ 2 alpha)))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) |
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(* -1 (* beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))))) (* beta (pow (- alpha (* -1 (+ 2 alpha))) 2)))) (+ (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha)))))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (+ (* 1/2 (/ (* (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow alpha 2) (- alpha (* -1 (+ 2 alpha)))))))) (+ (* 1/4 (/ (+ (* -4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 4 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))) (* 1/2 (/ (* (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (- (/ alpha (- alpha (* -1 (+ 2 alpha)))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2))))) (- alpha (* -1 (+ 2 alpha))))))) beta)) (/ alpha (- alpha (* -1 (+ 2 alpha))))) (* 1/4 (/ (+ (* -4 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) (pow (- alpha (* -1 (+ 2 alpha))) 2)))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
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(neg.f64 (/.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) beta))) beta)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 2 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 2 (- alpha (* -1 (+ 2 alpha))))) beta)) |
(neg.f64 (/.f64 (fma.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))) beta)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha))))) beta))) beta))) beta)) |
(* -1 (* beta (+ (* 1/2 (/ (+ 2 alpha) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) |
(* -1 (* beta (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (* beta (- alpha (* -1 (+ 2 alpha))))))) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) |
(* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))) (* 1/2 (/ (pow (+ 2 alpha) 3) (* beta (- alpha (* -1 (+ 2 alpha)))))))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (* 1/2 (/ (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))))) beta)) (* 1/2 (/ (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (/ 1 (- alpha (* -1 (+ 2 alpha)))))))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64))) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))) #s(literal 0 binary64))) beta) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (+.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 365 |
| 0 | 80 | 350 |
| 1 | 417 | 346 |
| 2 | 3421 | 346 |
| 0 | 8984 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(*.f64 #s(literal -2 binary64) alpha) |
#s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(/.f64 #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))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 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 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #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)) (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 (pow.f64 (pow.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.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 1/2 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.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 1/2 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 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (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 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.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 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.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 1/2 binary64)) (+.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 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.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 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.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)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.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 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (-.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 -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.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 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 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 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #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 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 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.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 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (-.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 (-.f64 beta alpha) (*.f64 (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 beta alpha) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 alpha beta))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha))) (neg.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 beta alpha)))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (neg.f64 beta) (neg.f64 alpha)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 alpha beta)) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (+.f64 alpha beta))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal -8 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(fma.f64 beta (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))) |
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))) |
(+.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (neg.f64 (/.f64 alpha (-.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) (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)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 beta #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 beta #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) beta)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 beta #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -2 binary64))) (pow.f64 beta #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(*.f64 (pow.f64 beta #s(literal -1/2 binary64)) (pow.f64 beta #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal -1 binary64))) |
(pow.f64 (pow.f64 beta #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 beta)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 beta beta) #s(literal -1/2 binary64)) |
(pow.f64 beta #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 beta)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 beta)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 beta))) |
(/.f64 #s(literal 1 binary64) beta) |
(neg.f64 (/.f64 #s(literal -1 binary64) beta)) |
(exp.f64 (neg.f64 (log.f64 beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) beta)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (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 -4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (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 -4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 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 -2 binary64)) |
(fma.f64 (*.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) |
(fma.f64 (-.f64 alpha beta) (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))))) |
Compiled 59 544 to 4 737 computations (92% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 978 | 4 | 982 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 986 | 14 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 48.4% | (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 49.2% | (/.f64 (fma.f64 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 33.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 84.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) | |
| ▶ | 98.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
| ✓ | 31.3% | #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))) |
| 71.0% | #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))) | |
| ▶ | 31.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ▶ | 26.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
| ▶ | 50.1% | #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))) |
| 27.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) | |
| ✓ | 27.9% | #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)))) |
| ✓ | 35.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 814 to 515 computations (36.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #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 | #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) | |
| cost-diff | 6336 | (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) | |
| cost-diff | 6464 | (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 544 |
| 0 | 97 | 544 |
| 1 | 175 | 544 |
| 2 | 352 | 541 |
| 3 | 977 | 526 |
| 4 | 3787 | 516 |
| 0 | 8295 | 511 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
#s(literal 1 binary64) |
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
#s(literal 2 binary64) |
(fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
beta |
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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 |
#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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(-.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)) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
#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)) |
(/.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 1/2 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 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
#s(approx (+ (* (/ (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))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
#s(literal 4 binary64) |
(*.f64 alpha alpha) |
alpha |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))))) |
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) |
beta |
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) |
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
(-.f64 beta #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 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 |
#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 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #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 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 1/2 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)) |
#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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))) alpha)) |
(/.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 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))) alpha) |
#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))) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
#s(literal 4 binary64) |
(*.f64 alpha alpha) |
alpha |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4357636723511288 | (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) | |
| accuracy | 0.5224732173738948 | (/.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) | |
| accuracy | 12.728860796599303 | #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))) | |
| accuracy | 44.1595205639418 | #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)) | |
| accuracy | 0.0 | (-.f64 beta alpha) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.03125 | (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) | |
| accuracy | 17.307588178115626 | (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 17.349089488730616 | #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))) | |
| accuracy | 20.540670929642705 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) | |
| accuracy | 0.0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 44.12793692750331 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) | |
| accuracy | 0.01953125 | (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| accuracy | 8.683225545349577 | (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
| 64.0ms | 168× | 0 | valid |
| 55.0ms | 62× | 1 | valid |
| 26.0ms | 26× | 2 | valid |
Compiled 938 to 128 computations (86.4% saved)
ival-div: 36.0ms (32.8% of total)ival-add: 22.0ms (20% of total)ival-mult: 15.0ms (13.7% of total)adjust: 14.0ms (12.8% of total)ival-sub: 11.0ms (10% of total)ival-pow2: 9.0ms (8.2% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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) |
(*.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) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) 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)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
(-.f64 (+.f64 alpha beta) #s(literal -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 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
#s(approx (+ (* (/ (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))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
| Outputs |
|---|
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(/ 1 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ 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)))))))))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(/ (+ 1 beta) alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1 |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(/ 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)) |
(* -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)) |
(* -1/2 (/ (* (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)) |
(/ 4 (pow alpha 2)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(+ alpha beta) |
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))) |
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) |
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2)))))))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1 |
(- (/ 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)))) |
(/ (+ 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 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))))) |
(* alpha (+ 1 (/ beta alpha))) |
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) |
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))) |
(/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(* -1 (* alpha (- (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta)))) |
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -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 (/ (+ (* -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 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 2 (+ 1 (* 1/2 alpha))) |
(+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (+ 1 (* 1/2 alpha)))) |
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* 2 (* beta (- 1/2 (* -1/2 alpha))))))) |
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* beta (+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (- 1/2 (* -1/2 alpha)))))))) |
(+ 1 (* 1/2 alpha)) |
(+ 1 (+ (* -1 (* beta (+ 1/2 (* 1/2 alpha)))) (* 1/2 alpha))) |
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- 1/2 (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha)))))) |
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- (+ 1/2 (* -1 (* beta (+ 1/2 (* 1/2 alpha))))) (* -1/2 alpha))) (+ 1/2 (* 1/2 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))))))))) |
(/ 2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 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)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1 (/ 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 (* 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))) |
(- (+ 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))) |
(* 1/4 beta) |
(* beta (+ 1/4 (* -1/4 beta))) |
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4)))) |
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4)))) |
(+ 1 (* beta (+ 1 (* -1/4 beta)))) |
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4))))) |
(+ 1 (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta))) |
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))))) |
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (+ (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))) (* 2 (/ (- (+ 1/2 (* 4 alpha)) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3)))))) |
(+ 1/2 (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta)))) |
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))) (+ (* -1 (/ alpha (pow beta 2))) (/ 1/2 (pow beta 2)))) |
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (+ (* 4 (/ alpha (pow beta 3))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3)))))))) (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 3))) (+ (* -1 (/ alpha (pow beta 2))) (+ (* 5/2 (/ alpha (pow beta 3))) (/ 1/2 (pow beta 2)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(- (+ 1 (* -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)))) |
(/ (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))))) |
(/ (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))))) |
(/ 1 beta) |
(/ (- 1 (* 4 (/ 1 beta))) beta) |
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta) |
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta) |
4 |
(- 4 (* 8 (/ 1 beta))) |
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta))) |
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -2 (/ (- (* -1/2 alpha) 1/2) beta))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/2 alpha) 1/2) beta))) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta))) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/2 alpha) (* -1 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta))) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) 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 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -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 (* (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 (/ (- (* 4 (/ 1 beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta)) |
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | alpha | @ | 0 | ((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ 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) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha))) |
| 6.0ms | alpha | @ | -inf | ((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ 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) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha))) |
| 5.0ms | alpha | @ | inf | ((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ 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) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha))) |
| 3.0ms | beta | @ | inf | ((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ 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) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha))) |
| 2.0ms | beta | @ | 0 | ((* 2 (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1)))) (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (/ 1 (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1))) (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 1/2) 1/2) (/ (- beta alpha) (- (+ alpha beta) -2)) (- beta alpha) (- (+ 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) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (- (+ (/ 4 (* alpha alpha)) 1) (/ 2 alpha)) (/ beta (pow (+ 2 beta) 2)) (pow (+ (/ beta (+ 2 beta)) 1) 2) (+ alpha beta) (/ 4 (* alpha alpha))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1221 | 6868 |
| 1 | 3916 | 6646 |
| 0 | 8157 | 6313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(/ 1 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ 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)))))))))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(/ (+ 1 beta) alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1 |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(/ 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)) |
(* -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)) |
(* -1/2 (/ (* (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)) |
(/ 4 (pow alpha 2)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(+ alpha beta) |
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))) |
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) |
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))))) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2)))))))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1 |
(- (/ 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)))) |
(/ (+ 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 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))))) |
(* alpha (+ 1 (/ beta alpha))) |
(* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) |
(* -1 (* alpha (- (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))))))) |
(/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)) |
(* -1 (* alpha (- (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta)))) |
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta))))))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -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 (/ (+ (* -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 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 2 (+ 1 (* 1/2 alpha))) |
(+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (+ 1 (* 1/2 alpha)))) |
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* 2 (* beta (- 1/2 (* -1/2 alpha))))))) |
(+ (* 2 (+ 1 (* 1/2 alpha))) (* beta (+ (* -2 (+ 1/2 (* 1/2 alpha))) (* beta (+ (* -2 (* beta (+ 1/2 (* 1/2 alpha)))) (* 2 (- 1/2 (* -1/2 alpha)))))))) |
(+ 1 (* 1/2 alpha)) |
(+ 1 (+ (* -1 (* beta (+ 1/2 (* 1/2 alpha)))) (* 1/2 alpha))) |
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- 1/2 (* -1/2 alpha))) (+ 1/2 (* 1/2 alpha)))))) |
(+ 1 (+ (* 1/2 alpha) (* beta (- (* beta (- (+ 1/2 (* -1 (* beta (+ 1/2 (* 1/2 alpha))))) (* -1/2 alpha))) (+ 1/2 (* 1/2 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))))))))) |
(/ 2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha)))))) |
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 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)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1 (/ 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 (* 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))) |
(- (+ 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))) |
(* 1/4 beta) |
(* beta (+ 1/4 (* -1/4 beta))) |
(* beta (+ 1/4 (* beta (- (* 3/16 beta) 1/4)))) |
(* beta (+ 1/4 (* beta (- (* beta (+ 3/16 (* -1/8 beta))) 1/4)))) |
(+ 1 (* beta (+ 1 (* -1/4 beta)))) |
(+ 1 (* beta (+ 1 (* beta (- (* 1/16 (pow beta 2)) 1/4))))) |
(+ 1 (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta))) |
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))))) |
(+ 1 (+ (* 2 (/ (+ 1/2 (* 1/2 alpha)) beta)) (+ (* 2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) (pow beta 2))) (* 2 (/ (- (+ 1/2 (* 4 alpha)) (+ (* -2 (- (* -3/2 alpha) (* -1 alpha))) (* 5/2 alpha))) (pow beta 3)))))) |
(+ 1/2 (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta)))) |
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ 1 beta))))) (+ (* -1 (/ alpha (pow beta 2))) (/ 1/2 (pow beta 2)))) |
(- (+ 1/2 (+ (* -3/2 (/ alpha (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (+ (* 4 (/ alpha (pow beta 3))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3)))))))) (+ (* -2 (/ (- (* -3/2 alpha) (* -1 alpha)) (pow beta 3))) (+ (* -1 (/ alpha (pow beta 2))) (+ (* 5/2 (/ alpha (pow beta 3))) (/ 1/2 (pow beta 2)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(- (+ 1 (* -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)))) |
(/ (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))))) |
(/ (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))))) |
(/ 1 beta) |
(/ (- 1 (* 4 (/ 1 beta))) beta) |
(/ (- (+ 1 (/ 12 (pow beta 2))) (* 4 (/ 1 beta))) beta) |
(/ (- (+ 1 (/ 12 (pow beta 2))) (+ (* 4 (/ 1 beta)) (* 32 (/ 1 (pow beta 3))))) beta) |
4 |
(- 4 (* 8 (/ 1 beta))) |
(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta))) |
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -2 (/ (- (* -1/2 alpha) 1/2) beta))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(+ 1/2 (* -1 (/ (- (* -1/2 alpha) 1/2) beta))) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta))) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/2 alpha) (* -1 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta))) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) 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 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -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 (* (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 (/ (- (* 4 (/ 1 beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta)) |
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta))) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| Outputs |
|---|
(/ 2 (+ 1 (/ beta (+ 2 beta)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(+ (* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(/ 1 (+ 1 (/ beta (+ 2 beta)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(+ (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (/ 1 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(* 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 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #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 (/.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 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta)))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.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 2 binary64)) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.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)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 alpha)) |
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(* 1/2 alpha) |
(*.f64 #s(literal 1/2 binary64) alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -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 (-.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 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 (/.f64 beta (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))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #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 (*.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)))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (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 beta alpha alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #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 (*.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 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 beta alpha alpha)) alpha)) (*.f64 alpha alpha)) |
(/ 4 (pow alpha 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(/.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) |
(+ alpha beta) |
(+.f64 beta alpha) |
(* 2 (* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(*.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta)))) |
(* alpha (+ (* 2 (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) (* 2 (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta)))))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha alpha))) alpha) |
(* alpha (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (+ (/ 1 (* alpha (+ 1 (/ beta (+ 2 beta))))) (+ (/ 1 (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (+ 2 beta))) (/ beta (* (pow (+ 1 (/ beta (+ 2 beta))) 2) (pow (+ 2 beta) 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (/.f64 beta (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (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 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (+.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 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))))) alpha) |
(* 2 (/ alpha (+ 2 (* 2 beta)))) |
(*.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64)) |
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) alpha) (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) alpha) |
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2)))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -2 binary64) (-.f64 (*.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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)))))) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
(/ 2 alpha) |
(/.f64 #s(literal 2 binary64) alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) alpha))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1/2 binary64) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
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4 |
#s(literal 4 binary64) |
(- 4 (* 8 (/ 1 beta))) |
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(- (+ 4 (/ 20 (pow beta 2))) (* 8 (/ 1 beta))) |
(-.f64 (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 beta beta)) #s(literal 4 binary64)) (/.f64 #s(literal 8 binary64) beta)) |
(- (+ 4 (/ 20 (pow beta 2))) (+ (* 8 (/ 1 beta)) (* 48 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 20 binary64) (*.f64 beta beta)) #s(literal 4 binary64)) (/.f64 #s(literal 8 binary64) beta)) (/.f64 #s(literal 48 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* -2 (/ (- (* -1/2 alpha) 1/2) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64)) beta) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -3/2 binary64) alpha #s(literal -1/2 binary64)) alpha) beta) #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64)) #s(literal 2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta)) (* 2 (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))))) beta)) (* 2 (- (* -1/2 alpha) 1/2))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) alpha #s(literal -1/2 binary64)) (fma.f64 #s(literal -5/2 binary64) alpha (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) #s(literal 2 binary64)))) beta) #s(literal -2 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -3/2 binary64) alpha #s(literal -1/2 binary64)) alpha) #s(literal 2 binary64))) beta)) beta)) |
(+ 1/2 (* -1 (/ (- (* -1/2 alpha) 1/2) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64)) beta)) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 alpha) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal -3/2 binary64) alpha #s(literal -1/2 binary64)) alpha) beta) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64))) beta)) |
(+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/2 alpha) (* -1 (/ (- (* -4 alpha) (+ 1/2 (+ (* -5/2 alpha) (* 2 (- (* -3/2 alpha) (* -1 alpha)))))) beta))) (+ 1/2 (* -1 alpha))) beta)) (* -1/2 alpha)) 1/2) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) alpha #s(literal -1/2 binary64)) (fma.f64 #s(literal -5/2 binary64) alpha (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) #s(literal 2 binary64)))) beta)) (-.f64 #s(literal 1/2 binary64) alpha)) beta) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta)) beta)) |
(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) beta) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha)))) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) beta)) #s(literal -1/4 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) beta) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta))) beta)) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -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 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 beta alpha)) #s(literal 1/2 binary64) (neg.f64 (/.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))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (*.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) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) beta)))) beta) (/.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))) (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (*.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 (neg.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 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (neg.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))) (/.f64 #s(literal 1 binary64) alpha))) beta))) beta) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -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 (-.f64 (*.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) (neg.f64 (/.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 (neg.f64 (fma.f64 (-.f64 (*.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) (neg.f64 (/.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)) beta)))) 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))) (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.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 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1 binary64) (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))) beta))) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (/ (- (* 4 (/ 1 beta)) 1) beta)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 beta)) 4) beta)) 1) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 12 binary64) beta) #s(literal 4 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 beta)) 12) beta)) 4) beta)) 1) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 32 binary64) beta) #s(literal 12 binary64)) beta) #s(literal -1 binary64) #s(literal -4 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) |
(+ 4 (* -1 (/ (- 8 (* 20 (/ 1 beta))) beta))) |
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 20 binary64) beta)) beta)) |
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 20 (* 48 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 20 binary64) (/.f64 #s(literal 48 binary64) beta)) beta)) beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 439 |
| 0 | 97 | 436 |
| 1 | 524 | 436 |
| 2 | 4631 | 436 |
| 0 | 9254 | 418 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) |
(fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
#s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) 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) |
(*.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) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) 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)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
(-.f64 (+.f64 alpha beta) #s(literal -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 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
#s(approx (+ (* (/ (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))) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) alpha) (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))))) #s(literal 2 binary64)) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
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(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal 1 binary64) beta (-.f64 alpha #s(literal -2 binary64))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) |
(+.f64 (/.f64 #s(literal -2 binary64) alpha) (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 beta #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) beta) |
(*.f64 (neg.f64 beta) (pow.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) |
(/.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta)) |
(/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(exp.f64 (+.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 beta alpha) (-.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))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) beta alpha) |
(fma.f64 beta #s(literal 1 binary64) alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) alpha) (pow.f64 alpha #s(literal -1 binary64))) |
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) alpha)) |
(*.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 (neg.f64 alpha) alpha) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha)) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 alpha (*.f64 alpha #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 alpha (/.f64 #s(literal 4 binary64) alpha)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (*.f64 alpha #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) |
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) alpha)) (neg.f64 alpha)) |
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (/.f64 #s(literal 4 binary64) alpha) alpha) |
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 alpha) alpha)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 alpha #s(literal 1/2 binary64))) |
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 alpha) alpha))) |
(/.f64 #s(literal 4 binary64) (pow.f64 (neg.f64 alpha) #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 alpha) (*.f64 alpha #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 alpha #s(literal 1/2 binary64)) (neg.f64 alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (/.f64 #s(literal 4 binary64) alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 alpha #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 alpha #s(literal 1/2 binary64)) alpha)) |
(/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 alpha #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 alpha alpha))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) |
Compiled 34 350 to 3 839 computations (88.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 721 | 9 | 730 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 728 | 16 | 744 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.9% | (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 71.0% | (fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.6% | (fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 33.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 72.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) | |
| ✓ | 31.3% | #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))) |
| ✓ | 31.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 8.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| 27.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) | |
| ✓ | 27.9% | #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)))) |
| 48.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 48.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| 26.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) | |
| 49.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) | |
| ✓ | 35.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 50.1% | #s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 1 614 to 594 computations (63.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (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 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.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 -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
#s(approx (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (neg.f64 (/.f64 (fma.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))) alpha)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (+.f64 #s(literal -2 binary64) (neg.f64 beta))))) alpha))) alpha))) alpha))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) alpha (*.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta))) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -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))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
5 calls:
| 66.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 34.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 31.0ms | beta |
| 11.0ms | alpha |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | alpha |
| 98.5% | 1 | beta |
| 98.5% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.5% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.5% | 1 | (/.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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (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 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.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 -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
5 calls:
| 29.0ms | beta |
| 27.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 10.0ms | alpha |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | alpha |
| 99.9% | 2 | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta 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 (-.f64 beta alpha) #s(approx (+ (+ alpha beta) 2) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) alpha)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (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 #s(approx (- (pow (/ beta (+ 2 (+ alpha beta))) 2) (pow (/ alpha (+ 2 (+ alpha beta))) 2)) (neg.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.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 -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #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)))) |
| 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 (+.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)) |
4 calls:
| 37.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 32.0ms | beta |
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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))) |
| 99.1% | 2 | beta |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
3 calls:
| 38.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
| 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 (-.f64 alpha 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))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #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)) |
| 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:
| 18.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (+.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 |
|---|---|---|
| 99.7% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.7% | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (/ (- beta alpha) (- (+ alpha beta) -2)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* alpha (/ (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))) (pow (+ (/ beta (+ 2 beta)) 1) 2))) (/ 1 (+ (/ beta (+ 2 beta)) 1))) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
4 calls:
| 19.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | beta |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | beta |
| 98.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.2% | 3 | (/.f64 (-.f64 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 20.0ms | (/.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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.9% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* 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 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
5 calls:
| 3.0ms | alpha |
| 3.0ms | beta |
| 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 |
|---|---|---|
| 70.5% | 2 | beta |
| 72.3% | 2 | alpha |
| 93.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 93.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.5% | 3 | (/.f64 (-.f64 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 93.3% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.3% | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 9.0ms | (/.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 |
|---|---|---|
| 93.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 93.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 93.2% | 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 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (- (+ alpha beta) -2)) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 2.0ms | alpha |
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 2 | beta |
| 54.6% | 2 | alpha |
| 70.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 70.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 70.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | beta |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | alpha |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | alpha |
| 35.3% | 1 | beta |
| 35.3% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 35.3% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 35.3% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 15148801454.08222 | 3320574214609.2847 |
| 4.0ms | 77× | 0 | valid |
| 3.0ms | 26× | 1 | valid |
| 2.0ms | 9× | 2 | valid |
Compiled 520 to 358 computations (31.2% saved)
ival-div: 2.0ms (33% of total)ival-add: 2.0ms (33% of total)adjust: 1.0ms (16.5% of total)ival-sub: 1.0ms (16.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999989323 | -0.9999610054039058 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999989323 | -0.9999610054039058 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999989323 | -0.9999610054039058 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999989323 | -0.9999610054039058 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9885323932360336 | -6.341523688465012e-8 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
| 0.0ms | -0.9999999999989323 | -0.9999610054039058 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
| 0.0ms | -0.9885323932360336 | -6.341523688465012e-8 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
| 0.0ms | -0.9885323932360336 | -6.341523688465012e-8 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
| 0.0ms | -0.9885323932360336 | -6.341523688465012e-8 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
| 0.0ms | -0.9885323932360336 | -6.341523688465012e-8 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5323854356625725e-6 | 0.9994857830982488 |
Compiled 16 to 16 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 967 |
| 1 | 200 | 967 |
| 2 | 296 | 967 |
| 3 | 475 | 967 |
| 4 | 824 | 967 |
| 5 | 1590 | 967 |
| 6 | 3885 | 967 |
| 7 | 7225 | 967 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #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 -9007019110755897/9007199254740992 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 (+.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))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 (-.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 -9007019110755897/9007199254740992 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 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 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.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))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))))) |
(pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 3200000000000 binary64)) (pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (*.f64 (fma.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)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha)) #s(literal -1 binary64)) (pow.f64 #s(approx (/ 2 (+ (/ (- beta alpha) (- (+ alpha beta) -2)) 1)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 (+.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))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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)) (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 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 (-.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 -9007019110755897/9007199254740992 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 -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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 -9007019110755897/9007199254740992 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 5902958103587057/1180591620717411303424 binary64)) #s(approx (+ (* (/ (- beta alpha) (- (+ alpha beta) -2)) 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) (pow.f64 beta #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) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #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 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (pow.f64 beta #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 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 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 (/ alpha (+ 2 alpha))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 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 (/ alpha (+ 2 alpha))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (/ alpha (+ 2 alpha))) 1/2) (pow.f64 alpha #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 365 |
| 0 | 80 | 350 |
| 1 | 417 | 346 |
| 2 | 3421 | 346 |
| 0 | 8984 | 339 |
| 0 | 433 | 2206 |
| 1 | 1394 | 2067 |
| 2 | 4609 | 1878 |
| 0 | 8705 | 1750 |
| 0 | 47 | 373 |
| 0 | 84 | 371 |
| 1 | 442 | 309 |
| 2 | 4174 | 309 |
| 0 | 8798 | 309 |
| 0 | 1221 | 6868 |
| 1 | 3916 | 6646 |
| 0 | 8157 | 6313 |
| 0 | 2004 | 23395 |
| 1 | 6681 | 23395 |
| 0 | 8407 | 22048 |
| 0 | 2194 | 17500 |
| 1 | 7582 | 17500 |
| 0 | 8582 | 16420 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 8667 | 43 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 453 to 498 computations (65.7% saved)
Compiled 1 960 to 296 computations (84.9% saved)
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