
Time bar (total: 7.7s)
| 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)
| 570.0ms | 6 065× | 0 | valid |
| 369.0ms | 1 410× | 1 | valid |
| 208.0ms | 781× | 2 | valid |
adjust: 243.0ms (29.6% of total)ival-add: 225.0ms (27.4% of total)ival-div: 165.0ms (20.1% of total)ival-sub: 94.0ms (11.4% of total)ival->: 64.0ms (7.8% of total)exact: 15.0ms (1.8% of total)ival-and: 12.0ms (1.5% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 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 | 62 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 62 | 0 |
| - | 0 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 62 | 0 | 0 |
| - | 0 | 0 | 194 |
| number | freq |
|---|---|
| 0 | 194 |
| 1 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 388× | 0 | valid |
| 13.0ms | 50× | 2 | valid |
| 12.0ms | 74× | 1 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-add: 10.0ms (29.2% of total)ival-div: 9.0ms (26.3% of total)adjust: 8.0ms (23.4% of total)ival-sub: 6.0ms (17.5% of total)exact: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 73 |
| 1 | 69 | 73 |
| 2 | 166 | 73 |
| 3 | 402 | 73 |
| 4 | 1384 | 69 |
| 5 | 6981 | 69 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 31 | 13 |
| 2 | 58 | 13 |
| 3 | 131 | 13 |
| 4 | 450 | 13 |
| 5 | 3492 | 13 |
| 6 | 6902 | 13 |
| 0 | 8111 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 31 | 48 |
| 2 | 58 | 48 |
| 3 | 131 | 48 |
| 4 | 450 | 48 |
| 5 | 3492 | 48 |
| 6 | 6902 | 48 |
| 0 | 8111 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 14.067850571775837 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 34.0ms | 194× | 0 | valid |
| 6.0ms | 25× | 2 | valid |
| 6.0ms | 37× | 1 | valid |
Compiled 50 to 12 computations (76% saved)
ival-add: 27.0ms (72.2% of total)adjust: 4.0ms (10.7% of total)ival-div: 4.0ms (10.7% of total)ival-sub: 2.0ms (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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6757 | 1937 |
| 0 | 9039 | 1843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha))) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 beta alpha)) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha)) alpha) #s(literal -1 binary64))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 alpha) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) alpha) beta)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64))) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 86 | 44 |
| 0 | 703 | 44 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha beta)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(-.f64 beta alpha) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
Compiled 4 933 to 845 computations (82.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 11 | 164 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 154 | 11 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.7% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
| 51.4% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 21.9% | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))) #s(literal 2 binary64)) | |
| 78.0% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| 74.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) | |
| 25.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| ▶ | 23.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
| ▶ | 29.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
| ▶ | 53.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
| ▶ | 37.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 636 to 388 computations (39% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) | |
| cost-diff | 4 | (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) alpha) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 1 | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 6 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 307 |
| 0 | 62 | 295 |
| 1 | 102 | 295 |
| 2 | 187 | 291 |
| 3 | 543 | 279 |
| 4 | 3538 | 279 |
| 0 | 8804 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
alpha |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (-.f64 beta #s(literal -1 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (-.f64 beta #s(literal -1 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) |
(*.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) |
(*.f64 (-.f64 beta #s(literal -1 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (-.f64 beta #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) |
(*.f64 (-.f64 beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
alpha |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 1.0173968167050258 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) | |
| accuracy | 1.9184981915282506 | (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) | |
| accuracy | 48.172274280980794 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.0234375 | (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) | |
| accuracy | 17.215378901613285 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) | |
| accuracy | 18.97471658689444 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) alpha) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| accuracy | 45.343509659972085 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) | |
| accuracy | 40.06258304943336 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.017910009768442016 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 0.03515625 | (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 14.057611365529375 | (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
| 53.0ms | 37× | 2 | valid |
| 50.0ms | 181× | 0 | valid |
| 22.0ms | 38× | 1 | valid |
Compiled 275 to 37 computations (86.5% saved)
adjust: 40.0ms (42.7% of total)ival-div: 23.0ms (24.6% of total)ival-sub: 13.0ms (13.9% of total)ival-add: 9.0ms (9.6% of total)ival-mult: 8.0ms (8.5% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 1 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 (* 2 beta))) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(* 1/2 (+ 2 (* 2 beta))) |
(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) |
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -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)) |
(* -1/2 (/ (- (* -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) (/ (* beta (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 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 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(/ beta (+ 2 alpha)) |
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(+ 2 alpha) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- (* 4 (/ 1 alpha)) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))))) |
(* -1/2 (- (* 4 (/ 1 alpha)) 2)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 alpha)) 2))) (* -1/2 (- (* 4 (/ 1 alpha)) 2))) |
(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2))))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 2 alpha) beta))) |
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(* 2 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 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))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | beta | @ | 0 | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha)) |
| 4.0ms | alpha | @ | 0 | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha)) |
| 4.0ms | alpha | @ | inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha)) |
| 4.0ms | alpha | @ | -inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha)) |
| 3.0ms | beta | @ | -inf | ((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha) beta) (- beta -2))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (/ (* (+ (* 2 beta) 2) (- beta -2)) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 840 | 3949 |
| 1 | 2875 | 3738 |
| 0 | 8551 | 3583 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 1 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 (* 2 beta))) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(* 1/2 (+ 2 (* 2 beta))) |
(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) |
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -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)) |
(* -1/2 (/ (- (* -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) (/ (* beta (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 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 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(/ beta (+ 2 alpha)) |
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))) |
(+ 2 alpha) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- (* 4 (/ 1 alpha)) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))))) |
(* -1/2 (- (* 4 (/ 1 alpha)) 2)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 alpha)) 2))) (* -1/2 (- (* 4 (/ 1 alpha)) 2))) |
(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2))))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 2 alpha) beta))) |
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(* 2 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 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))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 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 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1 (* -1/2 alpha)) |
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(* 1/2 alpha) |
(*.f64 #s(literal 1/2 binary64) alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
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(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
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-1 |
#s(literal -1 binary64) |
(- (/ alpha (+ 2 beta)) 1) |
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(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
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(/ alpha (+ 2 beta)) |
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(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
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(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
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alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* -1 (/ alpha beta)) |
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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
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(/ alpha beta) |
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(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
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(* alpha (+ 1 (/ 1 alpha))) |
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(/ 1 alpha) |
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(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
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(/ 2 alpha) |
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(- 1 (* 2 (/ 1 alpha))) |
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(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
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(* -1 (+ 2 (* 2 beta))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
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(* 1/2 (+ 2 (* 2 beta))) |
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(+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) |
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(* -1 (/ (+ 2 beta) alpha)) |
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(+ 1 (* -1 (/ (+ 2 beta) alpha))) |
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(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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(* -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)) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* -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)) |
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2 |
#s(literal 2 binary64) |
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beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
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(* 2 (/ (pow beta 2) alpha)) |
(*.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal 2 binary64)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta beta) alpha)) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta))) (*.f64 beta beta)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (neg.f64 (*.f64 beta beta)) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* -1 (/ (pow beta 2) alpha)) |
(/.f64 (*.f64 beta beta) (neg.f64 alpha)) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 alpha)) 2) beta))) (/ 1 alpha))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(- (/ alpha beta) 1) |
(-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 beta beta)) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(-.f64 (fma.f64 alpha (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 alpha beta)) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (/.f64 alpha beta) #s(literal 1 binary64))) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/.f64 (+.f64 alpha (*.f64 alpha (-.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)))) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/.f64 (-.f64 (fma.f64 alpha (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (*.f64 alpha (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)))) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta beta) alpha)) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) |
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (-.f64 alpha (/.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta)) #s(literal -2 binary64)) alpha) beta)) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (neg.f64 beta))) beta)) #s(literal -2 binary64)) alpha) beta)) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 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 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) #s(literal -1 binary64) (-.f64 alpha #s(literal -2 binary64))) beta)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)) beta) #s(literal -1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) #s(literal -1 binary64) (-.f64 alpha #s(literal -2 binary64))) beta)) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta)) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* 1/2 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- 2 (* 6 (/ 1 alpha)))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) 2) beta))) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(-.f64 (/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(-.f64 (/.f64 (-.f64 (/.f64 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)))) (neg.f64 beta)) alpha) (neg.f64 beta)) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(/.f64 (-.f64 (/.f64 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)))) (neg.f64 beta)) alpha) (neg.f64 beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)) beta) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 257 |
| 0 | 62 | 245 |
| 1 | 281 | 245 |
| 0 | 2493 | 242 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.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 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.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 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 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 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 3 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64))))) |
(-.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) (-.f64 beta #s(literal -2 binary64))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(+.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1 binary64)) alpha)) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) alpha)) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1 binary64)) alpha) |
(neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) #s(literal 1/2 binary64)) alpha)) |
(neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 alpha))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 3 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 3 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) beta) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.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)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 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 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.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)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.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 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.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 (neg.f64 alpha) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) alpha)) |
(neg.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) |
Compiled 17 014 to 2 330 computations (86.3% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 15 | 453 |
| Fresh | 5 | 1 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 446 | 18 | 464 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.7% | (/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| 51.4% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 78.0% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| 74.5% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| 24.7% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha))) | |
| 25.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| ▶ | 32.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| ▶ | 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
| ✓ | 53.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
| 50.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 51.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| 20.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) | |
| 21.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) | |
| ▶ | 20.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
| 21.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) | |
| ▶ | 50.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 042 to 682 computations (34.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) | |
| cost-diff | 3 | (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| cost-diff | 0 | (/.f64 alpha beta) | |
| cost-diff | 0 | #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 16 | (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 475 |
| 0 | 79 | 474 |
| 1 | 133 | 474 |
| 2 | 355 | 443 |
| 3 | 1694 | 430 |
| 0 | 8667 | 430 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.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 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
beta |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(-.f64 beta #s(literal -2 binary64)) |
beta |
#s(literal -2 binary64) |
alpha |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) beta) |
(/.f64 #s(literal -1/2 binary64) alpha) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.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 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) |
(*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) beta) |
beta |
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
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) |
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 alpha (+.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 (+.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 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) 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) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(-.f64 beta #s(literal -2 binary64)) |
beta |
#s(literal -2 binary64) |
alpha |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) beta) |
(/.f64 #s(literal -1/2 binary64) alpha) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) | |
| accuracy | 0.0625 | (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) | |
| accuracy | 1.1111468167050258 | (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) | |
| accuracy | 48.172274280980794 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 0.078125 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) | |
| accuracy | 18.97471658689444 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| accuracy | 44.87045831497019 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) | |
| accuracy | 0.0 | (/.f64 alpha beta) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) | |
| accuracy | 43.568992281051926 | #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) | |
| accuracy | 45.343509659972085 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| accuracy | 18.97471658689444 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 19.962129859773217 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.046875 | (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.05078125 | (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 0.05859375 | (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 14.029942156425403 | (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 90.0ms | 181× | 0 | valid |
| 48.0ms | 37× | 2 | valid |
| 24.0ms | 38× | 1 | valid |
Compiled 400 to 46 computations (88.5% saved)
ival-div: 41.0ms (30.1% of total)ival-sub: 29.0ms (21.3% of total)ival-pow2: 22.0ms (16.1% of total)adjust: 18.0ms (13.2% of total)ival-mult: 17.0ms (12.5% of total)ival-add: 8.0ms (5.9% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.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 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (+.f64 (+.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 #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
| Outputs |
|---|
(/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)) |
(- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(- (+ (* alpha (- (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(- (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) |
(+ (* 1/2 (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(- beta (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (/ beta (+ 2 beta))))) (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
beta |
(+ beta (/ (* alpha beta) (+ 2 beta))) |
(+ beta (* alpha (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))))) |
(+ beta (* alpha (+ (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (/ (* alpha beta) (pow (+ 2 beta) 3)))) (/ beta (+ 2 beta))))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 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 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/ alpha beta) |
(/ -2 (pow alpha 2)) |
(/ (- alpha 2) (pow alpha 2)) |
(/ -2 alpha) |
(/ (- alpha 2) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
-1 |
(- (/ (pow alpha 2) (pow (+ 2 beta) 2)) 1) |
(- (* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) 1) |
(- (* (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)))) 1) |
(/ (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)))) |
(+ 2 beta) |
(+ 2 (+ beta (* 2 alpha))) |
(/ (+ 2 beta) alpha) |
(* 1/2 (/ (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) alpha)) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha))) (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha))) alpha) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (pow alpha 2))))) (+ (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha)) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 2)))))) alpha) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 2 beta) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))))) (pow alpha 3))) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (pow alpha 2)))))) (+ (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha)) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 3))) (+ (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))))))) (pow alpha 3))) (* 1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 3))))))))) alpha) |
(* 1/4 (/ (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) alpha)) |
(/ (+ (* 1/4 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))) alpha))) alpha) |
(/ (+ (* 1/4 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))) alpha)) (* 1/2 (/ (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/4 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 2 beta) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (+ (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))))) (* 1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))) (pow alpha 2)))))) alpha) |
(- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) |
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* 2 beta)) (+ (* -1 (+ 4 (* 2 beta))) (+ (* -1 (/ (* (+ 2 beta) (+ 4 (* 2 beta))) alpha)) (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) alpha))))) |
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* -1 (+ 4 (* 2 beta))) (+ (* -1 (/ (* (+ 2 beta) (+ 4 (* 2 beta))) alpha)) (+ (* -1 (/ (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 2))) (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) alpha))))))) |
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(* 2 beta) |
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(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
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(* 2 alpha) |
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(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- (* 4 (/ 1 alpha)) 2) |
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(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
2 |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(/ 4 alpha) |
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(* beta (- (+ 2 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) |
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(* beta (+ 1 (/ alpha beta))) |
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(* beta (+ 2 (* 2 (/ 1 beta)))) |
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(- (/ (pow alpha 2) (pow beta 2)) 1) |
(- (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 4))) (/ (pow alpha 2) (pow beta 2))) (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (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)) |
(* beta (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(+ 2 (* -1 (/ (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (* -1 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 1 (* -1/2 (/ (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta)) (* 1/2 (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
(* -1 (* beta (- (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (+ alpha (* -1 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2))) beta))) (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta))) (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta))) beta)) 1))) |
(+ 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))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(- (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(/ (+ (* -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 (* beta (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) beta)) (* 2 alpha))) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha)))) beta)) (* 2 alpha))) beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | alpha | @ | -inf | ((/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (/ (- beta -2) alpha)) |
| 13.0ms | alpha | @ | inf | ((/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (/ (- beta -2) alpha)) |
| 11.0ms | beta | @ | -inf | ((/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (/ (- beta -2) alpha)) |
| 10.0ms | beta | @ | 0 | ((/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (/ (- beta -2) alpha)) |
| 7.0ms | alpha | @ | 0 | ((/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (/ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (- 1 (/ 2 alpha)) alpha) (- 1 (/ 2 alpha)) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (/ (- beta -2) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1449 | 13719 |
| 1 | 5291 | 13488 |
| 0 | 8259 | 12651 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)) |
(- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(- (+ (* alpha (- (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(- (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) |
(+ (* 1/2 (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(- beta (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (/ beta (+ 2 beta))))) (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
beta |
(+ beta (/ (* alpha beta) (+ 2 beta))) |
(+ beta (* alpha (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))))) |
(+ beta (* alpha (+ (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (/ (* alpha beta) (pow (+ 2 beta) 3)))) (/ beta (+ 2 beta))))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 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 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/ alpha beta) |
(/ -2 (pow alpha 2)) |
(/ (- alpha 2) (pow alpha 2)) |
(/ -2 alpha) |
(/ (- alpha 2) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
-1 |
(- (/ (pow alpha 2) (pow (+ 2 beta) 2)) 1) |
(- (* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) 1) |
(- (* (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)))) 1) |
(/ (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)))) |
(+ 2 beta) |
(+ 2 (+ beta (* 2 alpha))) |
(/ (+ 2 beta) alpha) |
(* 1/2 (/ (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) alpha)) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha))) (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha))) alpha) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (pow alpha 2))))) (+ (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha)) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 2)))))) alpha) |
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(/ 1 alpha) |
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1 |
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(* -1 (* (+ 2 alpha) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1))) |
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(* beta (+ 1 (/ alpha (+ 2 alpha)))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))))) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- (* 4 (/ 1 alpha)) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
2 |
(+ 2 (* 2 beta)) |
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(- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)) |
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(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(/ 2 alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(- (+ 2 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (* 2 (/ (+ 2 (* 2 alpha)) beta)))) |
(- (+ 2 (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 2)))))) |
(- (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta)))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* 2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (/ (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (pow beta 3)) (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 3))))))))) |
(+ 1 (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta))) |
(+ 1 (+ (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta)) (* 1/2 (/ (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))))) (pow beta 2))))) |
(+ 1 (+ (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta)) (+ (* 1/2 (/ (- (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* 2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (* 2 alpha)) (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (pow beta 3))) (* 1/2 (/ (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))))) (pow beta 2)))))) |
(* beta (- (+ 2 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) |
(* beta (- (+ 2 (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta))) (* -1 (/ (+ 2 alpha) beta)))) |
(* beta (- (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (/ alpha beta))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3)))))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(* 2 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(- (/ (pow alpha 2) (pow beta 2)) 1) |
(- (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 4))) (/ (pow alpha 2) (pow beta 2))) (+ 1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (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)) |
(* beta (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(+ 2 (* -1 (/ (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (* -1 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 1 (* -1/2 (/ (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta)) (* 1/2 (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
(* -1 (* beta (- (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (+ alpha (* -1 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2))) beta))) (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta))) (* -1 (+ 2 alpha))) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta))) beta)) 1))) |
(+ 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))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(- (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(/ (+ (* -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 (* beta (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) beta)) (* 2 alpha))) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha)))) beta)) (* 2 alpha))) beta)) 1))) |
| Outputs |
|---|
(/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)) |
(/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) |
(- (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(- (+ (* alpha (- (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(- (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) -1) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) |
(*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta)))) |
(*.f64 #s(literal 1/2 binary64) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (- beta (* -1 (+ 2 beta))) (+ 2 beta))) (* alpha (+ (* 1/2 (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (/ beta (pow (+ 2 beta) 4)) (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 3))))))) (* 1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (+ (* 2 (/ (- (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)))) (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))))) alpha (*.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 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) alpha (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(- beta (* -1 (+ 2 beta))) |
(-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(- (+ beta (* alpha (+ 1 (/ beta (+ 2 beta))))) (* -1 (+ 2 beta))) |
(-.f64 (fma.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) alpha beta) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
(-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) alpha beta) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(- (+ beta (* alpha (+ 1 (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ beta (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta)))) (/ beta (+ 2 beta)))))) (* -1 (+ 2 beta))) |
(-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal -1 binary64)) alpha beta) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (/ (* alpha beta) (+ 2 beta))) |
(fma.f64 alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))) beta) |
(+ beta (* alpha (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (*.f64 alpha (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) alpha beta) |
(+ beta (* alpha (+ (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 2))) (/ (* alpha beta) (pow (+ 2 beta) 3)))) (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #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 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))))) alpha (*.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(/ alpha beta) |
(/.f64 alpha beta) |
(/ -2 (pow alpha 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) |
(/ (- alpha 2) (pow alpha 2)) |
(/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha)) |
(/ -2 alpha) |
(/.f64 #s(literal -2 binary64) alpha) |
(/ (- alpha 2) alpha) |
(/.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(/.f64 (fma.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) (*.f64 alpha alpha)) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow alpha 2) (pow (+ 2 beta) 2)) 1) |
(-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(- (* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) 1) |
(fma.f64 (fma.f64 (neg.f64 alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha) #s(literal -1 binary64)) |
(- (* (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)))) 1) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha) #s(literal -1 binary64)) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (neg.f64 alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ beta (* 2 alpha))) |
(-.f64 (fma.f64 #s(literal 2 binary64) alpha beta) #s(literal -2 binary64)) |
(/ (+ 2 beta) alpha) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(* 1/2 (/ (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) #s(literal 1/2 binary64)) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha))) (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) alpha)) alpha) |
(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (pow alpha 2))))) (+ (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha)) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 2)))))) alpha) |
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(/ (- (+ (* 1/2 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) alpha)) (+ (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 2 beta) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))))) (pow alpha 3))) (* 1/2 (/ (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (pow alpha 2)))))) (+ (* 1/4 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) alpha)) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/4 (/ (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (pow alpha 3))) (+ (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))))))) (pow alpha 3))) (* 1/2 (/ (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))) (pow alpha 3))))))))) alpha) |
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(* 1/4 (/ (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) alpha)) |
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(/ (+ (* 1/4 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))) alpha)) (* 1/2 (/ (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/4 (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))) alpha)) (+ (* 1/2 (/ (- (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (+ (* -1 (* (+ 2 beta) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (+ (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))))) (* 1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))))))))) (pow alpha 3))) (* 1/2 (/ (- (* 1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))))) (+ (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -1 (+ 4 (* 2 beta)))))) (* 1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 1/2 (- (* -1 (* beta (+ 2 beta))) (+ (* -1 (* (+ 2 beta) (+ 4 (* 2 beta)))) (* -1 (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -1 (+ 4 (* 2 beta))))))))))) (pow alpha 2)))))) alpha) |
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(- (* 2 beta) (* -1 (+ 4 (* 2 beta)))) |
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(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta (neg.f64 (*.f64 beta (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)))) |
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))) |
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(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 2 beta) (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) |
(fma.f64 (*.f64 beta (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) #s(literal -1 binary64) (fma.f64 (*.f64 beta (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (*.f64 #s(literal 2 binary64) beta)))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.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 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha) (/.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 3 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) |
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(/ 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 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(* -1 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) beta)) alpha) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) beta) alpha) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(* -1 (+ 2 (* 2 beta))) |
(neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) beta)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64))) alpha) |
(* -1 (/ (+ 4 (* 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) |
(/ (- (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) alpha)) (+ 4 (* 2 beta))) alpha) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) |
(/ (- (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ 4 (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal -1 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha) |
(/ (- (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))))) (pow alpha 3))) (+ 4 (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))) (pow alpha 2))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 2) alpha))))))) alpha) |
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(+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (+ (* -1 (/ (+ 2 beta) alpha)) (* 2 (/ (+ 2 beta) alpha))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64) #s(literal 2 binary64)) alpha) |
(* alpha (+ 2 (+ (* -1 (/ (+ 2 beta) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ (+ 2 beta) alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha))))) #s(literal -2 binary64)) alpha) |
(* alpha (+ 2 (+ (* -1 (/ (+ 2 beta) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ (* 2 (/ (+ 2 beta) alpha)) (+ (/ (pow (+ 2 beta) 2) (pow alpha 2)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha))))))) #s(literal -2 binary64)) alpha) |
(* 1/2 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/2 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))) alpha)) (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/2 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (- (* beta (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))) alpha)) (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/2 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
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(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))) alpha)) (* 1/2 (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/2 (- (* beta (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (* (+ 2 beta) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3))))))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 3)) (pow (+ 2 beta) 3)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* 1/2 (- (* -1/2 (- (* beta (pow (+ 2 beta) 2)) (+ (* -1 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))))) (+ (* -1/2 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/4 (* (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/2 (- (* -1/2 (- (* beta (+ 2 beta)) (+ (* -4 (pow (+ 2 beta) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))) (* 1/4 (* (+ (* -1 (+ 2 beta)) (* 2 (+ 2 beta))) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
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(* -1 (* (+ 2 alpha) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1))) |
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(- (* beta (- (+ 2 (/ alpha (+ 2 alpha))) (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* (+ 2 alpha) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1))) |
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(- (* beta (- (+ 2 (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (+ 2 alpha) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))) (/ alpha (+ 2 alpha)))) (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* (+ 2 alpha) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1))) |
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(- (* beta (- (+ 2 (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (/ alpha (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* -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 (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))))) (+ (* -1 (* (+ 2 alpha) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))))) (/ alpha (+ 2 alpha)))) (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))))) (* (+ 2 alpha) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1))) |
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(* beta (+ 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) beta) |
(* beta (+ 1 (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))))) |
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(* beta (+ 1 (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 2))) (/ (* alpha beta) (pow (+ 2 alpha) 3)))) (/ alpha (+ 2 alpha))))) |
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(* beta (+ 1 (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (/ alpha (pow (+ 2 alpha) 3)))))) (/ alpha (+ 2 alpha))))) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 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))))))) |
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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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(* -1 (/ (+ 1 alpha) beta)) |
(neg.f64 (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/.f64 (-.f64 beta (-.f64 alpha #s(literal -1 binary64))) beta) |
(/ (+ 1 alpha) beta) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
(- (* 4 (/ 1 alpha)) 2) |
(-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64)) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
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(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) |
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(* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha)) |
(*.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 alpha #s(literal -2 binary64))) |
(+ (* beta (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha))))) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha))) |
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(+ (* beta (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 2))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))))) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha))) |
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(+ (* beta (+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 2))) (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 3)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))))) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 2 alpha))) |
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(/ 4 alpha) |
(/.f64 #s(literal 4 binary64) alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(/.f64 (fma.f64 #s(literal 6 binary64) beta #s(literal 4 binary64)) alpha) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 6 binary64)) alpha) beta (/.f64 #s(literal 4 binary64) alpha)) |
(/ 2 alpha) |
(/.f64 #s(literal 2 binary64) alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(- (+ 2 (/ alpha beta)) (+ (* -1 (/ (+ 2 alpha) beta)) (* 2 (/ (+ 2 (* 2 alpha)) beta)))) |
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(- (+ 2 (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 2)))))) |
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(- (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta)))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (* 2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (pow beta 2))) (+ (* 2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2))) (pow beta 3))) (+ (/ (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 2)) (+ (/ (* (+ 2 (* 2 alpha)) (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (pow beta 3)) (/ (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))) (pow beta 3))))))))) |
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(+ 1 (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta))) |
(fma.f64 (/.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta)) (* 1/2 (/ (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) beta) (/.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 alpha alpha))) (fma.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) #s(literal 2 binary64)))) (*.f64 beta beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))) beta)) (+ (* 1/2 (/ (- (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* 2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* (+ 2 (* 2 alpha)) (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha))))))))) (pow beta 3))) (* 1/2 (/ (- (* -1 (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* 2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* (+ 2 (* 2 alpha)) (- alpha (+ (* -1 (+ 2 alpha)) (* 2 (+ 2 (* 2 alpha)))))))) (pow beta 2)))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) beta) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha))))) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal 2 binary64) (fma.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 alpha alpha))) (fma.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (*.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)))))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 alpha alpha))) (fma.f64 (-.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (-.f64 alpha #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) #s(literal 2 binary64)))) (*.f64 beta beta))))) #s(literal -1 binary64)) |
(* beta (- (+ 2 (/ alpha beta)) (* -1 (/ (+ 2 alpha) beta)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (neg.f64 (-.f64 alpha #s(literal -2 binary64)))) beta)) beta) |
(* beta (- (+ 2 (+ (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (pow beta 2))) (/ alpha beta))) (* -1 (/ (+ 2 alpha) beta)))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 alpha alpha)) beta) (/.f64 #s(literal -1 binary64) beta) (/.f64 alpha beta)) #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta))) beta) |
(* beta (- (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (+ (* -1 (* (pow alpha 2) (+ 4 (* 2 alpha)))) (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (/ alpha beta))) (+ (* -1 (/ (+ 2 alpha) beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 alpha beta)) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (*.f64 alpha alpha)) (*.f64 beta beta)))) beta) |
(* beta (+ 1 (/ alpha beta))) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal -1 binary64)) beta) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (/.f64 alpha beta)) #s(literal -1 binary64)) beta) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3)))))) |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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(* 2 (/ (pow beta 2) alpha)) |
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(* beta (+ 2 (* 2 (/ 1 beta)))) |
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(* -1 (/ (pow beta 2) (pow alpha 2))) |
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(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
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(- (/ (pow alpha 2) (pow beta 2)) 1) |
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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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(* beta (+ 1 (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (* alpha (+ 2 alpha)) (pow beta 2))))))) |
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(* beta (+ 1 (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))))) |
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(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
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(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
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(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
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(+ 2 (* -1 (/ (- (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (- (+ (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (* -1 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta))) (* -2 (+ 2 (* 2 alpha)))) beta))) |
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(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha))))) (+ (* -2 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2)))) (+ (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) (* -1 (* (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha))))))))) beta)) (* 1/2 (- (* -1 (- (* alpha (+ 2 alpha)) (* -1 (pow alpha 2)))) (+ (* -2 (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha)))) (* -1 (* (+ 2 (* 2 alpha)) (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))))))) beta)) (* 1/2 (- (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -2 (+ 2 (* 2 alpha)))))) beta))) |
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(* -1 (* beta (- (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) 2))) |
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(* -1 (* beta (- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (* alpha (pow (+ 2 alpha) 2)) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* (pow alpha 2) (+ 2 alpha)))) beta)) (* alpha (+ 2 alpha))) (* -1 (pow alpha 2))) beta))) (* -1 (+ 2 alpha))) beta)) 2))) |
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(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)) #s(literal -1 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta))) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta)) beta) #s(literal -1 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 alpha #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(- (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) #s(literal -1 binary64))) |
(- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) #s(literal -1 binary64))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (-.f64 alpha #s(literal -2 binary64)) 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 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.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) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha))) (-.f64 alpha #s(literal -2 binary64)) (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha))) beta) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)))) beta) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (*.f64 alpha alpha)))) beta))) (*.f64 beta beta)) |
(* -1 (* beta (- (* -1 (/ (+ 2 (* 2 alpha)) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* alpha (+ 2 alpha))) beta)) (* 2 alpha))) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 alpha #s(literal -2 binary64)) alpha)) beta))) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 (+ (* -1 (/ (+ (* -1 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha)))) beta)) (* 2 alpha))) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) beta)))) beta))) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 401 |
| 0 | 79 | 401 |
| 1 | 330 | 401 |
| 0 | 2960 | 398 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.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 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta))) |
#s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(*.f64 (+.f64 (+.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 #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) (fma.f64 (/.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) (neg.f64 (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (*.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) beta)) (*.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
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(/.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64)) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha)) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64))) (*.f64 (neg.f64 alpha) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (neg.f64 alpha) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64))) (*.f64 alpha (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 alpha (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) |
(fma.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) beta (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (*.f64 #s(literal 2 binary64) beta) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 beta (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64))) |
(fma.f64 beta (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) |
(-.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) beta) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal -2 binary64) alpha))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (/.f64 #s(literal -2 binary64) alpha))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 alpha beta) (*.f64 #s(literal -2 binary64) alpha)) (*.f64 alpha alpha)) |
(/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) beta) alpha)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64)) (*.f64 (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))) alpha)) |
(/.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))) alpha)) |
(neg.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) (neg.f64 alpha))) |
(-.f64 (/.f64 beta alpha) (/.f64 #s(literal -2 binary64) alpha)) |
Compiled 36 310 to 3 137 computations (91.4% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 6 | 503 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 503 | 18 | 521 |
| Status | Accuracy | Program |
|---|---|---|
| 23.1% | (/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) alpha) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| 22.9% | (/.f64 (/.f64 #s(approx (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 78.0% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 74.5% | #s(approx (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 74.5% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ▶ | 25.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ✓ | 32.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| ▶ | 25.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
| ✓ | 53.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
| 50.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 51.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| ▶ | 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 20.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) | |
| 21.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) | |
| 21.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #s(literal 1 binary64)) alpha))) | |
| 11.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) | |
| ✓ | 50.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 448 to 792 computations (45.3% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) | |
| cost-diff | 3 | (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 1 | (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 300 |
| 0 | 74 | 293 |
| 1 | 128 | 293 |
| 2 | 272 | 290 |
| 3 | 873 | 281 |
| 4 | 5155 | 281 |
| 0 | 8158 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.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) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
alpha |
#s(literal 1/2 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
#s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) beta) |
#s(literal -2 binary64) |
(/.f64 #s(literal -1/2 binary64) alpha) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
alpha |
#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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 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 (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal -2 binary64)) #s(literal -1/2 binary64) beta) alpha)) |
(*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal -2 binary64)) #s(literal -1/2 binary64) beta) alpha) |
(-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) |
#s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) beta) |
#s(literal -2 binary64) |
(/.f64 #s(literal -1/2 binary64) alpha) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) | |
| accuracy | 1.1111468167050258 | (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) | |
| accuracy | 41.952050039241676 | #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) | |
| accuracy | 48.172274280980794 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| accuracy | 0.0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.010097509768442016 | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.015625 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 16.337336238371535 | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 47.40025150518063 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| accuracy | 18.97471658689444 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| accuracy | 19.717603846480447 | #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 14.066416657260733 | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 53.0ms | 38× | 2 | valid |
| 52.0ms | 181× | 0 | valid |
| 32.0ms | 37× | 1 | valid |
Compiled 232 to 46 computations (80.2% saved)
adjust: 40.0ms (38.4% of total)ival-div: 28.0ms (26.9% of total)ival-sub: 12.0ms (11.5% of total)ival-add: 12.0ms (11.5% of total)ival-mult: 12.0ms (11.5% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 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(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
| Outputs |
|---|
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
beta |
(+ beta (* -1 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 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 beta) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(/ (+ 2 beta) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1/2 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1/4 alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(* -1 (+ 2 (* 2 beta))) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 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 (* alpha (- 1/4 (* 1/2 (/ 1 alpha))))) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- beta alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(- (* 4 (/ 1 alpha)) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
(+ 2 (* 2 beta)) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))))) |
(+ 2 alpha) |
(/ 2 alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* 2 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | alpha | @ | -inf | ((* (+ (+ alpha beta) 2) 2) (+ (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) 1/2) (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (- beta -2))) 1/2) (/ beta (- beta -2)) (- beta -2) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (+ (+ alpha beta) 2) (/ (- beta -2) alpha) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2))) |
| 3.0ms | alpha | @ | inf | ((* (+ (+ alpha beta) 2) 2) (+ (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) 1/2) (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (- beta -2))) 1/2) (/ beta (- beta -2)) (- beta -2) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (+ (+ alpha beta) 2) (/ (- beta -2) alpha) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2))) |
| 3.0ms | alpha | @ | 0 | ((* (+ (+ alpha beta) 2) 2) (+ (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) 1/2) (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (- beta -2))) 1/2) (/ beta (- beta -2)) (- beta -2) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (+ (+ alpha beta) 2) (/ (- beta -2) alpha) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2))) |
| 2.0ms | beta | @ | inf | ((* (+ (+ alpha beta) 2) 2) (+ (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) 1/2) (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (- beta -2))) 1/2) (/ beta (- beta -2)) (- beta -2) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (+ (+ alpha beta) 2) (/ (- beta -2) alpha) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2))) |
| 2.0ms | beta | @ | 0 | ((* (+ (+ alpha beta) 2) 2) (+ (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) 1/2) (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (- beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (+ (* 1/2 (/ beta (- beta -2))) 1/2) (/ beta (- beta -2)) (- beta -2) (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (- (* 2 beta) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (+ (+ alpha beta) 2) (/ (- beta -2) alpha) (* (/ (- beta -2) alpha) (+ (* 2 beta) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 634 | 3193 |
| 1 | 2185 | 2897 |
| 0 | 9273 | 2780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
beta |
(+ beta (* -1 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 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 beta) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(/ (+ 2 beta) alpha) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1/2 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1/4 alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(* -1 (+ 2 (* 2 beta))) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 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 (* alpha (- 1/4 (* 1/2 (/ 1 alpha))))) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- beta alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(- (* 4 (/ 1 alpha)) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2) |
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2) |
(+ 2 (* 2 beta)) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) |
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))))) |
(+ 2 alpha) |
(/ 2 alpha) |
(+ (* 2 (/ 1 alpha)) (/ beta alpha)) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* 2 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 2 (+ 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ beta (+ 2 beta))) |
(*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(/ (+ 1 beta) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1 (* alpha (+ 2 (* 2 beta)))) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) alpha (-.f64 beta #s(literal -2 binary64)))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) (pow alpha 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) (*.f64 alpha alpha)) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) |
(/ (+ 2 beta) alpha) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (-.f64 (-.f64 beta #s(literal -1 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) alpha) (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha))) (-.f64 beta #s(literal -1 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64) (-.f64 beta #s(literal -1 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 (/.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64) (-.f64 beta #s(literal -1 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) beta))) 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 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(* -1/4 alpha) |
(*.f64 #s(literal -1/4 binary64) alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal 1/4 binary64)) alpha) |
(* -1 (+ 2 (* 2 beta))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
(- (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) (+ 2 (* 2 beta))) |
(-.f64 (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -2 binary64)) beta) beta) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(/.f64 (-.f64 (-.f64 beta #s(literal -1 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -2 binary64) #s(literal -2 binary64))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64))) (neg.f64 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)) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta) #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 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta) #s(literal -1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) (*.f64 beta beta))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta) #s(literal -1 binary64))) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
(* beta (+ 1 (/ 1 beta))) |
(-.f64 beta #s(literal -1 binary64)) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(- 1 (* 2 (/ 1 beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(-.f64 beta #s(literal -2 binary64)) |
(* 2 (/ (pow beta 2) alpha)) |
(*.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal 2 binary64)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta alpha) beta)) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) (*.f64 beta beta)) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 beta alpha) beta)) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) alpha) beta) (/.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal -2 binary64))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -1 binary64)) beta) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))))) beta) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta)) |
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) beta) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta)) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (* 2 (/ 1 alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) alpha)) beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 266 |
| 0 | 74 | 260 |
| 1 | 332 | 260 |
| 0 | 2899 | 250 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 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(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) |
(-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(fma.f64 alpha #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 #s(literal 2 binary64) beta)) |
(+.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(+.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (-.f64 (*.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (+.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 beta (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))) |
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(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (neg.f64 alpha)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)))) (neg.f64 alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 alpha (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 alpha (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 alpha) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64))) alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64))) (neg.f64 alpha))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64))) alpha) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) alpha))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) #s(literal -2 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal -1/2 binary64) alpha)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) alpha))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta))) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) #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 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 (+.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 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(+.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
#s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) |
(*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta #s(literal -4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)))) (*.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (-.f64 (*.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) beta) #s(literal 2 binary64) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) beta (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(fma.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal 2 binary64) beta) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(fma.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 beta #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)))) |
(fma.f64 beta (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 #s(literal -2 binary64) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 (neg.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha))) (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) #s(literal 2 binary64))) |
Compiled 15 030 to 1 854 computations (87.7% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 13 | 403 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 398 | 23 | 421 |
| Status | Accuracy | Program |
|---|---|---|
| 78.3% | (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) | |
| 78.0% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) | |
| 74.7% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) | |
| 4.0% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| 4.4% | (+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) | |
| 3.6% | (+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| 74.5% | #s(approx (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 74.5% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 25.5% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)))) | |
| 46.6% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| 47.4% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| 53.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| ✓ | 25.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 21.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) | |
| ✓ | 32.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| 8.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| 24.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) | |
| 51.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| ✓ | 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 21.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) | |
| 11.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) | |
| ✓ | 50.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 2 240 to 748 computations (66.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -1 binary64) #s(literal -2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(approx (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) alpha) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(approx (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) beta (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
5 calls:
| 89.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 12.0ms | beta |
| 11.0ms | alpha |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 95.8% | 2 | alpha |
| 78.7% | 1 | beta |
Compiled 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (- beta -2) alpha) (/.f64 beta alpha)) (*.f64 #s(literal -2 binary64) beta)) #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
3 calls:
| 18.0ms | (/.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 |
|---|---|---|
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (/ (- (* beta (- (/ alpha (+ (+ alpha beta) 2)) -1)) (* (+ (+ alpha beta) 2) (- (pow (/ alpha (+ (+ alpha beta) 2)) 2) 1))) (* (+ (+ alpha beta) 2) (- (/ alpha (+ (+ alpha beta) 2)) -1))) 2) (*.f64 (/.f64 (-.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 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 |
|---|---|---|
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
3 calls:
| 6.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (*.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
3 calls:
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 96.6% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 96.6% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| 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 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
3 calls:
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.4% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
4 calls:
| 7.0ms | alpha |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 2 | alpha |
| 96.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 96.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 96.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(approx (/ (- 1 (/ 2 alpha)) alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) (*.f64 alpha alpha))))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
3 calls:
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 96.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 96.4% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
3 calls:
| 5.0ms | (/.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 |
|---|---|---|
| 91.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 91.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 91.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(approx (- 1 (/ 2 alpha)) #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) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #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 |
|---|---|---|
| 91.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 91.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 3.0ms | alpha |
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 2 | alpha |
| 73.3% | 2 | beta |
| 73.1% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 73.1% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 73.1% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (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)) |
1 calls:
| 2.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | beta |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ (+ alpha beta) 2) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 72.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 72.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 72.8% | 2 | beta |
Compiled 34 to 28 computations (17.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | alpha |
| 1.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 1 | alpha |
| 37.4% | 1 | beta |
| 37.4% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 37.4% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 37.4% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 35 to 30 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0957110496701006e-8 | 2.5264385916656806e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5264385916656806e-8 | 8.93048763174753e-5 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.729058090622516e-10 | 1.0957110496701006e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.93048763174753e-5 | 0.030529301379771168 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.93048763174753e-5 | 0.030529301379771168 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 1.0957110496701006e-8 | 2.5264385916656806e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 0.3840865417706573 | 0.41452247839793155 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 0.3840865417706573 | 0.41452247839793155 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 8.93048763174753e-5 | 0.030529301379771168 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 8.93048763174753e-5 | 0.030529301379771168 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 0.0ms | 8.93048763174753e-5 | 0.030529301379771168 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.1793399096045476 | 43404.9818317466 |
| 7.0ms | 117× | 0 | valid |
| 3.0ms | 13× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 457 to 339 computations (25.8% saved)
adjust: 2.0ms (25% of total)ival-div: 2.0ms (25% of total)ival-add: 2.0ms (25% of total)ival-sub: 1.0ms (12.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.1793399096045476 | 43404.9818317466 |
| 5.0ms | 16× | 2 | valid |
| 3.0ms | 56× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 403 to 330 computations (18.1% saved)
ival-div: 3.0ms (41.6% of total)adjust: 2.0ms (27.7% of total)ival-add: 2.0ms (27.7% of total)ival-sub: 1.0ms (13.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.5523610292998868 | 0.9999999999999993 |
| 1.0ms | 64× | 0 | valid |
Compiled 176 to 147 computations (16.5% saved)
ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1129 |
| 1 | 215 | 1129 |
| 2 | 375 | 1129 |
| 3 | 1053 | 1125 |
| 4 | 6783 | 1125 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/9671406556917033397649408 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ (+ alpha beta) 2) 2) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (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)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #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 beta #s(literal 2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 beta #s(literal 2386907802506363/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- (* (/ (- beta -2) alpha) (+ (* 2 beta) 2)) (- (* 2 beta) -2)) (/ -1/2 alpha)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) (/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 (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)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3602879701896397/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
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(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #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 beta #s(literal 2 binary64)) #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (- beta -2))) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 beta #s(literal 2386907802506363/2251799813685248 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 1 129 to 142 computations (87.4% saved)
Compiled 2 284 to 304 computations (86.7% saved)
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