
Time bar (total: 9.0s)
| 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)
| 630.0ms | 6 030× | 0 | valid |
| 341.0ms | 833× | 2 | valid |
| 288.0ms | 1 393× | 1 | valid |
ival-add: 243.0ms (26.5% of total)ival-div: 217.0ms (23.7% of total)adjust: 165.0ms (18% of total)ival-sub: 151.0ms (16.5% of total)ival->: 109.0ms (11.9% of total)exact: 14.0ms (1.5% of total)ival-and: 12.0ms (1.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 0 | - | 0 | - | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | beta |
| 0 | 0 | - | 0 | - | (+.f64 alpha beta) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 beta alpha) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | cancellation | 78 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 78 | 0 |
| - | 0 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 78 | 0 | 0 |
| - | 0 | 0 | 178 |
| number | freq |
|---|---|
| 0 | 178 |
| 1 | 78 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 360× | 0 | valid |
| 41.0ms | 50× | 2 | valid |
| 26.0ms | 102× | 1 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-add: 41.0ms (64% of total)ival-div: 9.0ms (14.1% of total)adjust: 9.0ms (14.1% of total)ival-sub: 4.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 73 |
| 1 | 69 | 73 |
| 2 | 143 | 73 |
| 3 | 231 | 73 |
| 4 | 391 | 73 |
| 5 | 824 | 71 |
| 6 | 1602 | 69 |
| 7 | 2893 | 69 |
| 8 | 5038 | 69 |
| 9 | 7368 | 69 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 31 | 13 |
| 2 | 48 | 13 |
| 3 | 63 | 13 |
| 4 | 97 | 13 |
| 5 | 179 | 13 |
| 6 | 373 | 13 |
| 7 | 764 | 13 |
| 8 | 1175 | 13 |
| 9 | 2235 | 13 |
| 10 | 3693 | 13 |
| 11 | 4964 | 13 |
| 12 | 6022 | 13 |
| 13 | 6870 | 13 |
| 14 | 7404 | 13 |
| 15 | 7716 | 13 |
| 0 | 8470 | 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 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.5% | (/.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 | 48 | 48 |
| 3 | 63 | 48 |
| 4 | 97 | 48 |
| 5 | 179 | 48 |
| 6 | 373 | 48 |
| 7 | 764 | 48 |
| 8 | 1175 | 48 |
| 9 | 2235 | 48 |
| 10 | 3693 | 48 |
| 11 | 4964 | 48 |
| 12 | 6022 | 48 |
| 13 | 6870 | 48 |
| 14 | 7404 | 48 |
| 15 | 7716 | 48 |
| 0 | 8470 | 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 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 17.605405051482318 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 27.0ms | 180× | 0 | valid |
| 8.0ms | 51× | 1 | valid |
| 6.0ms | 25× | 2 | valid |
Compiled 50 to 12 computations (76% saved)
adjust: 5.0ms (30.8% of total)ival-add: 5.0ms (30.8% of total)ival-div: 4.0ms (24.7% of total)ival-sub: 2.0ms (12.3% 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 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2178 |
| 1 | 1507 | 2045 |
| 2 | 5969 | 1957 |
| 0 | 8060 | 1860 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(+ 1 (+ (* 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 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (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 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #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 #s(literal 2 binary64) beta) #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 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha)) alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #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 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha)) alpha))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #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 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 beta alpha)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) 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 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) 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)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) (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 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.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 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) alpha) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64))) (neg.f64 alpha)) #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 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (neg.f64 alpha)))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) beta) (neg.f64 alpha)) #s(literal 1 binary64)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (-.f64 (/.f64 beta (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) 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 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #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 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) 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 #s(literal 2 binary64) alpha) beta) alpha) beta)) (/.f64 (+.f64 #s(literal 2 binary64) 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))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #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 #s(literal 2 binary64) alpha) beta) (+.f64 #s(literal 2 binary64) alpha)) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.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 #s(literal 2 binary64) alpha) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.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 #s(literal 2 binary64) alpha) #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 #s(literal 2 binary64) alpha) (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 #s(literal 2 binary64) alpha) #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 #s(literal 2 binary64) alpha) (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 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 86 | 44 |
| 2 | 628 | 44 |
| 0 | 8529 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.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 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (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 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (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 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (-.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))) |
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.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 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (neg.f64 (-.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))) (neg.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta))) #s(literal 2 binary64)) |
(fma.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 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) alpha (*.f64 beta beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (+.f64 alpha beta))) (+.f64 alpha beta) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 beta alpha) beta) (-.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (pow.f64 alpha #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 2 binary64)))) (-.f64 (*.f64 alpha alpha) (*.f64 (-.f64 beta alpha) beta)) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 beta alpha) beta) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 beta alpha) beta) (-.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 alpha alpha)) (pow.f64 alpha #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha beta) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))) (/.f64 (-.f64 beta alpha) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (neg.f64 (+.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (/.f64 (pow.f64 alpha #s(literal 3/2 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)) (/.f64 (+.f64 alpha beta) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 alpha alpha) (/.f64 alpha (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (+.f64 alpha beta) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (+.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)) #s(literal 2 binary64)) |
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (-.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 alpha (/.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha (/.f64 alpha (-.f64 alpha beta)))) (*.f64 beta (/.f64 beta (-.f64 alpha beta)))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (-.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 (*.f64 alpha (/.f64 alpha (-.f64 alpha beta))) (-.f64 (*.f64 beta (/.f64 beta (-.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) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (*.f64 alpha alpha)))) |
(+.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (-.f64 beta alpha) beta (*.f64 alpha alpha))) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) |
Compiled 19 030 to 2 499 computations (86.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 13 | 521 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 509 | 13 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| 72.5% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 72.1% | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 51.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (fma.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 73.3% | (/.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)) |
| 52.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 70.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 24.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) | |
| ▶ | 27.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
| 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 29.0% | #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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| 56.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) | |
| 52.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| ▶ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 926 to 434 computations (53.1% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha)) | |
| cost-diff | 1 | (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) | |
| cost-diff | 1 | (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) | |
| cost-diff | 5 | (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 1 | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) beta) | |
| cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) | |
| cost-diff | 0 | (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (/.f64 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 | 43 | 429 |
| 0 | 75 | 415 |
| 1 | 138 | 385 |
| 2 | 296 | 381 |
| 3 | 1055 | 375 |
| 4 | 6569 | 374 |
| 0 | 8165 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) |
(-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) |
(-.f64 (neg.f64 beta) beta) |
(neg.f64 beta) |
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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) |
#s(literal -1/2 binary64) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) |
alpha |
(neg.f64 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)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 beta (+.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) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 alpha) |
beta |
alpha |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)))) alpha) |
(fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)))) |
(-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) |
(-.f64 (neg.f64 beta) beta) |
(neg.f64 beta) |
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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) beta)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) |
#s(literal -1/2 binary64) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) |
(*.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) 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 #s(literal 2 binary64) beta)) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) |
alpha |
(neg.f64 alpha) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.1685732034432674 | (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) | |
| accuracy | 2.4353581706994025 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha)) | |
| accuracy | 5.0468399091134994 | (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) | |
| accuracy | 43.46661706877557 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) | |
| accuracy | 0.0 | (+.f64 alpha beta) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.02734375 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 17.85867133903299 | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) beta) | |
| accuracy | 0.01171875 | (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) | |
| accuracy | 19.111678006197195 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 43.537762376557794 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 0.015625 | (-.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 | 0.02734375 | (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) | |
| accuracy | 17.611446805640544 | (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
| 65.0ms | 179× | 0 | valid |
| 44.0ms | 52× | 1 | valid |
| 23.0ms | 25× | 2 | valid |
Compiled 401 to 44 computations (89% saved)
ival-div: 22.0ms (22.7% of total)ival-pow2: 18.0ms (18.6% of total)adjust: 15.0ms (15.5% of total)ival-add: 14.0ms (14.5% of total)ival-sub: 12.0ms (12.4% of total)ival-mult: 12.0ms (12.4% of total)ival-neg: 2.0ms (2.1% 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 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) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 #s(literal 2 binary64) beta) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 beta alpha) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 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))) |
(+.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) 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)) |
beta |
(+ beta (* -1 alpha)) |
(/ 1 (+ 2 beta)) |
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) |
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha) |
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3))) |
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3)) |
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3)) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2)) |
-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)))) |
(+ alpha beta) |
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) 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) |
(* 1/2 (/ (+ 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) |
(* alpha (- (/ beta alpha) 1)) |
(/ 1 alpha) |
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha) |
(* (+ 2 beta) (+ 2 (* 2 beta))) |
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha) |
(* -1/2 (+ 2 (* 2 beta))) |
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) |
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
1 |
(+ 1 (* -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)))) |
(* alpha (+ 1 (/ 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 (/ beta alpha))))) |
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha)) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) |
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 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 (- (* -1 (/ beta alpha)) 1))) |
(- 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) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(- beta alpha) |
(/ 1 (+ 2 alpha)) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(- 4 (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) |
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))) |
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha))))) |
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3))))))) |
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1) |
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) |
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) |
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))))) |
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 8 alpha) |
(+ (* 16 (/ beta alpha)) (* 8 (/ 1 alpha))) |
(+ (* beta (+ (* 10 (/ beta alpha)) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha))) |
(+ (* beta (+ (* beta (+ (* 2 (/ beta alpha)) (* 10 (/ 1 alpha)))) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha))) |
(+ 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 (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(/ 1 beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta) |
(* -2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta)))))) |
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta))))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))) |
(* -1 (/ (pow beta 3) (pow alpha 2))) |
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2)))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* beta (+ 1 (/ alpha beta))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (* 10 (/ 1 (* alpha beta))))) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (/ 10 (* alpha beta)) (/ 16 (* alpha (pow beta 2)))))) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (* 8 (/ 1 (* alpha (pow beta 3)))) (/ 10 (* 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))) |
(+ 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))) |
(- (+ 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 (* beta (- (/ alpha beta) 1))) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) 2) (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) (- beta alpha) (/ 1 (+ 2 (+ alpha beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) |
| 7.0ms | 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) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) 2) (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) (- beta alpha) (/ 1 (+ 2 (+ alpha beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) |
| 4.0ms | 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) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) 2) (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) (- beta alpha) (/ 1 (+ 2 (+ alpha beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* (+ (* 2 beta) 2) (pow (+ 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) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) 2) (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) (- beta alpha) (/ 1 (+ 2 (+ alpha beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) |
| 4.0ms | 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) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ beta (+ 2 beta)) (+ 2 beta) (/ (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) 2) (+ (* (- beta alpha) (/ 1 (+ 2 (+ alpha beta)))) 1) (- beta alpha) (/ 1 (+ 2 (+ alpha beta))) (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) (/ (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (neg alpha)) (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha)) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ alpha beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1092 | 5651 |
| 1 | 3822 | 5618 |
| 0 | 8238 | 5372 |
| 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)) |
beta |
(+ beta (* -1 alpha)) |
(/ 1 (+ 2 beta)) |
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) |
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha) |
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3))) |
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3)) |
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3)) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2)) |
-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)))) |
(+ alpha beta) |
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) 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) |
(* 1/2 (/ (+ 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) |
(* alpha (- (/ beta alpha) 1)) |
(/ 1 alpha) |
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha) |
(* (+ 2 beta) (+ 2 (* 2 beta))) |
(+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (+ 2 (* 2 beta)))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))) alpha) |
(* -1/2 (+ 2 (* 2 beta))) |
(+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) |
(+ (* -1/2 (+ 2 (* 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha) |
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha) |
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha) |
1 |
(+ 1 (* -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)))) |
(* alpha (+ 1 (/ 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 (/ beta alpha))))) |
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha)) |
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha)) |
(+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) |
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 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 (- (* -1 (/ beta alpha)) 1))) |
(- 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) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(- beta alpha) |
(/ 1 (+ 2 alpha)) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(- 4 (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- 6 (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- (+ 6 (* beta (- 2 (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(- (+ 4 (* beta (- (+ 6 (* beta (- (+ 2 (* -2 (/ beta alpha))) (* 10 (/ 1 alpha))))) (* 16 (/ 1 alpha))))) (* 8 (/ 1 alpha))) |
(* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) |
(+ (* -1 (* beta (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)))) (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha))) |
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* -1/2 (/ (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2))))) alpha))))) |
(+ (* -1 (/ (- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha))) (* beta (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3))))))) |
(- (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1))) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1))) 1) |
(- (+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (- (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))) 1))) 1) |
(* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) |
(+ (* 1/2 (* beta (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) |
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))))) |
(+ (* 1/2 (/ (- 4 (* 8 (/ 1 alpha))) alpha)) (* beta (+ (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))))))) |
(- (/ alpha (+ 2 alpha)) 1) |
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1) |
(/ alpha (+ 2 alpha)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) |
(/ 8 alpha) |
(+ (* 16 (/ beta alpha)) (* 8 (/ 1 alpha))) |
(+ (* beta (+ (* 10 (/ beta alpha)) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha))) |
(+ (* beta (+ (* beta (+ (* 2 (/ beta alpha)) (* 10 (/ 1 alpha)))) (* 16 (/ 1 alpha)))) (* 8 (/ 1 alpha))) |
(+ 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 (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(/ 1 beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta) |
(* -2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (- (* 2 (/ 1 beta)) (+ (* 2 (/ 1 alpha)) (/ 10 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (/ 6 (pow beta 2))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (/ 10 (* alpha beta)))))) |
(* (pow beta 3) (- (+ (* 2 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 3))) (/ 6 (pow beta 2)))) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (/ 8 (* alpha (pow beta 3))) (/ 10 (* alpha beta))))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))) |
(* -1 (/ (pow beta 3) (pow alpha 2))) |
(* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2)))) |
(- (/ alpha beta) 1) |
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* beta (+ 1 (/ alpha beta))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (* 10 (/ 1 (* alpha beta))))) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (/ 10 (* alpha beta)) (/ 16 (* alpha (pow beta 2)))))) |
(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (+ (* 16 (/ 1 (* alpha (pow beta 2)))) (+ (* 8 (/ 1 (* alpha (pow beta 3)))) (/ 10 (* 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))) |
(+ 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))) |
(- (+ 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 (* beta (- (/ alpha beta) 1))) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
| Outputs |
|---|
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
beta |
(+ beta (* -1 alpha)) |
(fma.f64 #s(literal -1 binary64) alpha beta) |
(/ 1 (+ 2 beta)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) |
(fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/ (- (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) alpha) |
(/.f64 (fma.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) |
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (pow.f64 alpha #s(literal 3 binary64))) |
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) alpha)) (pow.f64 alpha #s(literal 3 binary64))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta)))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ 2 (* 2 beta)))) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha)) |
-1 |
#s(literal -1 binary64) |
(- (/ alpha (+ 2 beta)) 1) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(/ alpha (+ 2 beta)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(+ alpha beta) |
(+.f64 alpha beta) |
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (neg.f64 alpha))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (neg.f64 alpha))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha)))) (fma.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (*.f64 alpha alpha)))) #s(literal 2 binary64)) (fma.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (fma.f64 beta (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #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) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (fma.f64 (neg.f64 beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta) alpha) |
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha)) alpha) |
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
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alpha |
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1 |
#s(literal 1 binary64) |
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(* alpha (+ 1 (/ beta alpha))) |
(*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* (pow beta 3) (+ (* -1 (/ (- (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 3))) (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) (pow beta 2))) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))) |
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(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))) |
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(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2)))) (/ 1 (pow alpha 2)))) |
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(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (pow beta 3))) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) (pow beta 2))))) (/ 1 (pow alpha 2)))) |
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(- (/ alpha beta) 1) |
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(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1) |
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(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
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(* (pow beta 3) (+ (* 2 (/ 1 alpha)) (* 10 (/ 1 (* alpha beta))))) |
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(fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 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))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 alpha beta) #s(literal 1 binary64))) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 1 binary64)) (neg.f64 beta)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) alpha) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (neg.f64 beta)) (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) #s(literal 1 binary64)) (neg.f64 beta)) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- 2 (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) alpha)) beta) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) (pow.f64 beta #s(literal 3 binary64))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 16 (/ 1 alpha)) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (- 4 (* 8 (/ 1 alpha))) beta)) (* 16 (/ 1 alpha))) 6) beta))) (* 10 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) beta) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal 6 binary64))) beta) #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha beta))) (/ 1 (* alpha beta)))) beta)) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 alpha beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (* 1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) (* alpha beta)))) (/ 1 (* alpha beta))) beta)) (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) beta) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))) (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64))))) |
(* -1 (* (pow beta 3) (+ (* -1/2 (/ (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* 1/2 (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) beta) #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) beta)) (* 1/2 (- (* 2 (/ 1 alpha)) (* 10 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) beta) #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1) |
(-.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) (neg.f64 beta)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1) |
(-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha)) 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) (neg.f64 alpha)) (neg.f64 beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) alpha)) 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 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) alpha)) (neg.f64 beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) alpha)) (neg.f64 beta)) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (* 16 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) alpha) beta) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 alpha)) (+ (/ 8 (* alpha (pow beta 2))) (/ 16 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))) |
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 beta beta) alpha)) (/.f64 (/.f64 #s(literal 16 binary64) alpha) beta)) (/.f64 #s(literal 10 binary64) alpha)) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 337 |
| 0 | 75 | 323 |
| 1 | 335 | 294 |
| 2 | 2764 | 294 |
| 0 | 9606 | 294 |
| 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) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 #s(literal 2 binary64) beta) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(-.f64 beta alpha) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 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))) |
(+.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 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))))) (*.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)))) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.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 (-.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 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (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 (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))) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.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))) (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 (-.f64 (*.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) (*.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 beta)) (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 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 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))))))) |
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(fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal -1/2 binary64) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (neg.f64 alpha))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal -1/2 binary64) alpha)) #s(literal 2 binary64)) (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (neg.f64 alpha)))))) |
(-.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (neg.f64 alpha)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (*.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 beta) 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 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha)) |
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (neg.f64 alpha)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (neg.f64 alpha))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal -1/2 binary64) (neg.f64 alpha))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))) (neg.f64 alpha)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)))) (neg.f64 alpha)) |
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) (/.f64 #s(literal -1/2 binary64) alpha))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.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 (+.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)))) #s(literal 1 binary64))) (pow.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)))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 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 #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 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))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.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))))) (pow.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)))) #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)))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 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 (*.f64 alpha #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 alpha (neg.f64 (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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(-.f64 (/.f64 (*.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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) alpha)) (neg.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) 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 (pow.f64 (+.f64 #s(literal 2 binary64) 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))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) 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)) (pow.f64 (+.f64 #s(literal 2 binary64) 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))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) |
Compiled 43 741 to 5 231 computations (88% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 840 | 14 | 854 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 845 | 22 | 867 |
| Status | Accuracy | Program |
|---|---|---|
| 72.5% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 51.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (fma.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) | |
| 73.3% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 73.3% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ✓ | 73.3% | (/.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)) |
| 32.0% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) | |
| 52.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| ▶ | 32.0% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
| 52.4% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| 70.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) | |
| 24.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) | |
| ▶ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ▶ | 29.0% | #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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
| 14.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) | |
| 31.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) | |
| 25.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) | |
| 10.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))) (neg.f64 alpha))) | |
| 47.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| 49.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| ▶ | 51.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 924 to 1 015 computations (47.2% 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) | |
| 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| cost-diff | 4 | (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) | |
| cost-diff | 0 | (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 8 | (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) | |
| cost-diff | 12 | (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 509 |
| 0 | 86 | 503 |
| 1 | 163 | 499 |
| 2 | 352 | 439 |
| 3 | 1168 | 423 |
| 4 | 7455 | 423 |
| 0 | 8021 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #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) 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) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) |
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) |
(-.f64 (neg.f64 beta) #s(literal 2 binary64)) |
(neg.f64 beta) |
beta |
#s(literal 2 binary64) |
alpha |
#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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
alpha |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.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 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.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 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #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 #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)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.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 #s(literal 1 binary64) (/.f64 alpha (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 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)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #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) 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) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha))) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) |
(/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) |
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) |
(-.f64 (neg.f64 beta) #s(literal 2 binary64)) |
(neg.f64 beta) |
beta |
#s(literal 2 binary64) |
alpha |
#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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (-.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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 (/.f64 #s(literal -1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (-.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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (-.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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (-.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 #s(literal 2 binary64) beta)) alpha) beta) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) (+.f64 #s(literal 1 binary64) beta)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
alpha |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) | |
| accuracy | 2.397714410627977 | (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) | |
| accuracy | 44.307170219833225 | #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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| accuracy | 0.0 | (neg.f64 beta) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) | |
| accuracy | 0.03125 | (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) | |
| accuracy | 43.5426111649196 | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 43.5426111649196 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| accuracy | 16.205779755227187 | #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 19.111678006197195 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 0.02734375 | (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 0.03125 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| accuracy | 0.05078125 | (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 17.562143027184632 | (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
| 79.0ms | 52× | 1 | valid |
| 74.0ms | 179× | 0 | valid |
| 25.0ms | 25× | 2 | valid |
Compiled 466 to 48 computations (89.7% saved)
ival-div: 48.0ms (35.8% of total)ival-add: 36.0ms (26.8% of total)adjust: 19.0ms (14.2% of total)ival-sub: 12.0ms (8.9% of total)ival-mult: 11.0ms (8.2% of total)ival-pow2: 7.0ms (5.2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #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) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) |
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) |
#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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(neg.f64 beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) |
| Outputs |
|---|
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (* alpha (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (* 3 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(- (* -1 (/ alpha (+ 2 beta))) 1) |
(- (* alpha (- (* 2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (- (* alpha (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))) 1) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))) (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (+ (* 5 (/ 1 (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ (+ 1 beta) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* -1 (/ (+ 2 (* 2 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)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
1 |
(+ 1 (* 2 (/ alpha (+ 2 beta)))) |
(+ 1 (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) |
(+ 1 (* alpha (+ (* alpha (- (/ (pow alpha 2) (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 2)))) (* 2 (/ 1 (+ 2 beta)))))) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* -1/4 (/ (+ 8 (* 4 beta)) alpha)) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))) alpha) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))))) alpha) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ 1 beta) |
(/ -2 alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
-2 |
(- (* -2 beta) 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) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
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(* -1/2 (- (* 4 (/ 1 alpha)) 2)) |
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(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2))))) |
(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(pow (+ 1 (/ alpha (+ 2 alpha))) 2) |
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ alpha (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) |
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(/ alpha (+ 2 alpha)) |
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(* -1 beta) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(- (* -1 (/ alpha beta)) (+ 1 (* -2 (/ alpha beta)))) |
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(- (* -1 (/ alpha beta)) 1) |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
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(+ 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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(* -2 (/ beta alpha)) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 beta) |
(* -1 (* beta (+ 2 (* 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))))) |
(* -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))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ alpha beta))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(- (* -1 (/ (- alpha (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha))))) (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- alpha (* 2 alpha))))))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) beta)) (* -1 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) beta)) (* -1 alpha)) beta)) 1) |
(+ 1 (* -1/2 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (* 1/2 (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (pow (+ 2 alpha) 2)) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -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))) |
(* (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))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
(* -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 | |
|---|---|---|---|---|
| 98.0ms | alpha | @ | inf | ((/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (- (- (neg beta) 2) beta) alpha) (- (- (neg beta) 2) beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (/ alpha (+ (+ alpha beta) 2)) (neg beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha)) |
| 35.0ms | alpha | @ | 0 | ((/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (- (- (neg beta) 2) beta) alpha) (- (- (neg beta) 2) beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (/ alpha (+ (+ alpha beta) 2)) (neg beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha)) |
| 30.0ms | beta | @ | 0 | ((/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (- (- (neg beta) 2) beta) alpha) (- (- (neg beta) 2) beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (/ alpha (+ (+ alpha beta) 2)) (neg beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha)) |
| 26.0ms | alpha | @ | -inf | ((/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (- (- (neg beta) 2) beta) alpha) (- (- (neg beta) 2) beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (/ alpha (+ (+ alpha beta) 2)) (neg beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha)) |
| 8.0ms | beta | @ | inf | ((/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (pow (/ alpha (+ (+ alpha beta) 2)) 2) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (- (- (neg beta) 2) beta) alpha) (- (- (neg beta) 2) beta) (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (pow (/ alpha (+ (+ alpha beta) 2)) 2) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (/ alpha (+ (+ alpha beta) 2)) (neg beta) (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2177 | 24484 |
| 0 | 8397 | 22559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (* alpha (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (* 3 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(- (* -1 (/ alpha (+ 2 beta))) 1) |
(- (* alpha (- (* 2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (- (* alpha (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))) 1) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))) (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (+ (* 5 (/ 1 (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ (+ 1 beta) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* -1 (/ (+ 2 (* 2 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)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
1 |
(+ 1 (* 2 (/ alpha (+ 2 beta)))) |
(+ 1 (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) |
(+ 1 (* alpha (+ (* alpha (- (/ (pow alpha 2) (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 2)))) (* 2 (/ 1 (+ 2 beta)))))) |
(/ alpha (+ 2 beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* -1/4 (/ (+ 8 (* 4 beta)) alpha)) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))) alpha) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ 1 beta) |
(/ -2 alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
-2 |
(- (* -2 beta) 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) |
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
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(* -1/2 (- (* 4 (/ 1 alpha)) 2)) |
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(+ (* -1/2 (- (* 4 (/ 1 alpha)) 2)) (* beta (+ (* -1 (/ beta alpha)) (* -1/2 (- (* 6 (/ 1 alpha)) 2))))) |
(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
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(pow (+ 1 (/ alpha (+ 2 alpha))) 2) |
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ alpha (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) |
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(/ alpha (+ 2 alpha)) |
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(* -1 beta) |
(/ 4 alpha) |
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(- (* -1 (/ alpha beta)) (+ 1 (* -2 (/ alpha beta)))) |
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(- (* -1 (/ alpha beta)) 1) |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
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(+ 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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(* -2 (/ beta alpha)) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 beta) |
(* -1 (* beta (+ 2 (* 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))))) |
(* -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))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ alpha beta))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))))) |
(/ alpha beta) |
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta) |
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta) |
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta))))) |
(- (* -1 (/ (- alpha (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha))))) (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- alpha (* 2 alpha))))))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) beta)) (* -1 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) beta)) (* -1 alpha)) beta)) 1) |
(+ 1 (* -1/2 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (* 1/2 (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (pow (+ 2 alpha) 2)) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(+ 1 (* -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))) |
(* (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))) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
(* -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 |
#s(literal -1 binary64) |
(- (/ alpha (+ 2 beta)) 1) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* alpha (+ (* alpha (- (* alpha (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (* 3 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* -1 (/ alpha (+ 2 beta))) 1) |
(-.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (- (* 2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* alpha (- (* alpha (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))) (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 12 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (+ (* alpha (- (+ (* 5 (/ 1 (pow (+ 2 beta) 2))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (/ 1 (+ 2 beta))) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 12 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(* -1 (/ (+ 2 (* 2 beta)) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.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 #s(literal 2 binary64) beta))) alpha) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 alpha 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 #s(literal 2 binary64) beta)) (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)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) alpha) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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1 |
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(+ 1 (* 2 (/ alpha (+ 2 beta)))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal 1 binary64)) |
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(+ 1 (* alpha (+ (* alpha (- (/ (pow alpha 2) (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 2)))) (* 2 (/ 1 (+ 2 beta)))))) |
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(/ alpha (+ 2 beta)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
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(* -1/4 (/ (+ 8 (* 4 beta)) alpha)) |
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(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))))) alpha) |
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(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 4)) (+ (* -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 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3))))) (+ (* -1 (* (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 3) (+ 6 (+ beta (* 2 beta)))))))))) (pow alpha 3)))))) (+ (* -1 (/ (* (+ 2 beta) (- (* -1/4 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (+ (* -1 (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta))))))) (* -1/16 (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* -4 (pow (+ 2 beta) 3)) (* -2 (pow (+ 2 beta) 3)))) (pow alpha 3))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha)) (* 1/4 (/ (* (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 3))))))))) alpha) |
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(* -1 (/ (- (+ (* -1 beta) (+ (* 1/16 (+ (* -8 (+ 2 beta)) (* 4 (+ 2 beta)))) (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 beta)))))) (+ (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/4 (+ 2 beta)))) alpha)) |
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2 |
#s(literal 2 binary64) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)))))) beta) #s(literal -1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (* 1/2 (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 alpha)) (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha))) alpha) #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha)) alpha) #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha (+.f64 (fma.f64 (*.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha)))) (pow.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))))) beta) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) alpha #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)))))) beta))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (+ (* -1 alpha) (* -1 (/ (- (+ (* -1 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (pow (+ 2 alpha) 2)) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta))))) (* -2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 0 binary64) alpha (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -2 binary64) (neg.f64 alpha)) (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha))) alpha) #s(literal 2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha)) alpha) #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha (+.f64 (fma.f64 (*.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha)))) (pow.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))))) beta) #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 alpha alpha) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 3 binary64) alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64))))))) beta))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1 binary64) #s(literal 2 binary64)) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 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 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 (neg.f64 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 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (neg.f64 alpha)) 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))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (neg.f64 alpha)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 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))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (+.f64 #s(literal 2 binary64) alpha) (neg.f64 alpha)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) beta) #s(literal -1/2 binary64) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #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)) |
(* (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 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) #s(literal -1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) 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 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)))) (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha)))) beta) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta))) (*.f64 beta beta)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha))) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha alpha (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64)))) beta))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) |
(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 alpha)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) (neg.f64 alpha)) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha)) beta) #s(literal -1 binary64) (neg.f64 alpha)) beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 414 |
| 0 | 86 | 408 |
| 1 | 403 | 404 |
| 2 | 3304 | 380 |
| 0 | 9104 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #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) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) |
(-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta)) |
#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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) |
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(neg.f64 beta) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) beta)) alpha) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 3 binary64))) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 3 binary64))) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (*.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 beta (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (neg.f64 (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) beta (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64)) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (expm1.f64 (fma.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(+.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha #s(literal -2 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) beta) alpha))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha #s(literal -3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 alpha #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)))) (neg.f64 (neg.f64 (neg.f64 alpha)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha))) (neg.f64 (*.f64 alpha alpha))) |
(/.f64 (-.f64 (pow.f64 alpha #s(literal -2 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal -3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (+.f64 (pow.f64 alpha #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (neg.f64 alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) alpha)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (neg.f64 alpha))) |
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)) |
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64))) (neg.f64 (-.f64 beta #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) beta)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 1 binary64)) (-.f64 beta #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 1 binary64) beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta beta (-.f64 #s(literal 1 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) beta #s(literal 1 binary64)) |
(fma.f64 beta #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) |
(+.f64 (pow.f64 (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 beta #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)) #s(literal -1/2 binary64)) (neg.f64 alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta))) (neg.f64 alpha)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta))) (neg.f64 alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta)) alpha) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) |
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(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
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(exp.f64 (+.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (/.f64 alpha (+.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))) |
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(pow.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
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(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(neg.f64 (/.f64 alpha (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(fabs.f64 (/.f64 alpha (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(fabs.f64 (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(fabs.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (sinh.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(neg.f64 beta) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.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 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 alpha)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) 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)) (/.f64 (+.f64 #s(literal 2 binary64) beta) 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 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.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 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 (*.f64 beta #s(literal 4 binary64)) beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha))) |
(+.f64 (/.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) alpha) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) beta) alpha)) |
Compiled 67 280 to 5 575 computations (91.7% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 810 | 10 | 820 |
| Fresh | 3 | 12 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 816 | 26 | 842 |
| Status | Accuracy | Program |
|---|---|---|
| 72.5% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 73.3% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 73.3% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 73.4% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ✓ | 73.3% | (/.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)) |
| 32.0% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) | |
| 52.2% | (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 31.9% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| 52.4% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| 70.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) | |
| ▶ | 24.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
| ▶ | 16.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
| ✓ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ▶ | 30.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
| 31.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| 23.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) | |
| 14.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) | |
| 25.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) | |
| 16.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) | |
| 10.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| 25.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) | |
| 47.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ▶ | 49.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| ✓ | 51.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 748 to 1 027 computations (41.2% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| cost-diff | 4 | (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta)) | |
| cost-diff | 0 | (*.f64 beta alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) | |
| cost-diff | 2 | (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) | |
| cost-diff | 3 | (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) alpha) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 1 | (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) | |
| cost-diff | 7 | (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) | |
| cost-diff | 12 | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 575 |
| 0 | 93 | 572 |
| 1 | 193 | 568 |
| 2 | 579 | 492 |
| 3 | 2615 | 482 |
| 0 | 8270 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
beta |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(+.f64 beta alpha) |
(+.f64 #s(literal 1 binary64) (/.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 (+.f64 alpha beta) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
#s(literal 1 binary64) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) |
#s(literal 1 binary64) |
alpha |
(*.f64 beta alpha) |
beta |
(*.f64 alpha alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) |
#s(literal -1/2 binary64) |
(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta)) |
(-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) beta) |
alpha |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.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)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.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 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 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.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 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (/.f64 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))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) |
(*.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) alpha) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
(+.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)) |
#s(literal 1 binary64) |
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.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)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) |
(-.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) |
#s(literal 1 binary64) |
alpha |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) |
(fma.f64 alpha beta alpha) |
#s(literal 1 binary64) |
alpha |
(*.f64 beta alpha) |
(*.f64 alpha beta) |
beta |
(*.f64 alpha alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) |
(*.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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta)) |
(*.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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta) (neg.f64 beta)) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) beta) |
alpha |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.02734375 | (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) | |
| accuracy | 0.09212875976844201 | (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) | |
| accuracy | 44.307170219833225 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| accuracy | 0.0 | (*.f64 alpha alpha) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) | |
| accuracy | 25.17691553627943 | (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) | |
| accuracy | 43.5426111649196 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) | |
| accuracy | 0.0 | (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) alpha) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) | |
| accuracy | 48.61054317991565 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) | |
| accuracy | 18.219453968602135 | #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) | |
| accuracy | 19.111678006197195 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| accuracy | 0.03125 | (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| accuracy | 0.033535009768442016 | (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) | |
| accuracy | 0.03515625 | (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) | |
| accuracy | 17.562143027184632 | (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
| 63.0ms | 179× | 0 | valid |
| 42.0ms | 52× | 1 | valid |
| 29.0ms | 25× | 2 | valid |
Compiled 526 to 54 computations (89.7% saved)
ival-div: 26.0ms (25.6% of total)ival-add: 22.0ms (21.6% of total)adjust: 20.0ms (19.7% of total)ival-mult: 18.0ms (17.7% of total)ival-sub: 9.0ms (8.9% of total)ival-pow2: 5.0ms (4.9% 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 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.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) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
(*.f64 beta alpha) |
(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) |
(/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 alpha alpha) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
| Outputs |
|---|
-1 |
(- (/ alpha (+ 2 beta)) 1) |
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(* 1/2 (- (+ (/ 1 (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (+ 2 alpha)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))) |
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(+ (* 1/2 (- (+ (/ 1 (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (+ 2 alpha)))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (- (+ (/ 1 (+ 2 alpha)) (/ (* (pow alpha 2) (+ (* -1 alpha) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 4 (* 2 alpha))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (pow (+ 2 alpha) 4)))) (+ (* -2 (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 2)))) (/ (* alpha (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (+ 2 alpha))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 2)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ (* (+ (* -1 alpha) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 4 (* 2 alpha)))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ (* -1 alpha) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 4 (* 2 alpha)))) 2)) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 6)))) (/ (* (pow alpha 2) (+ 1 (+ (* -1 (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* 2 (/ alpha (+ 2 alpha)))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (pow (+ 2 alpha) 4))))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (* (pow alpha 2) (* (+ 1 (+ (* -1 (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* 2 (/ alpha (+ 2 alpha))))) (+ (* -1 alpha) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 4 (* 2 alpha)))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 6)))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ (* (pow alpha 2) (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 3)))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (pow (+ 2 alpha) 4)))))) (+ (* -2 (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 4)))) (+ (* -2 (/ (pow alpha 2) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 5)))) (+ (* -1 (/ (* alpha (* (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (+ 2 alpha))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 6) (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (+ 2 alpha))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) (+ (* -1 (/ (* alpha (pow (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (+ 2 alpha))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) 2)) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 6) (pow (+ 2 alpha) 3)))) (/ (* alpha (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 2))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (+ 2 alpha)))) (+ (* 2 (/ (* alpha (+ (* -4 (/ (pow alpha 2) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 4)))) (+ (* 2 (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 3)))) (/ (pow alpha 2) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 4)))))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (+ (* 2 (/ (* alpha (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 5) (pow (+ 2 alpha) 2)))) (/ (* alpha (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (+ (* (+ 2 alpha) (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 4))) (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 5))))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 2)))))))))))) (* 1/2 (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ (* -1 alpha) (* (+ 1 (/ alpha (+ 2 alpha))) (+ 4 (* 2 alpha)))) 2)) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 6)))) (/ (* (pow alpha 2) (+ 1 (+ (* -1 (/ (* alpha (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* 2 (/ alpha (+ 2 alpha)))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 2) (pow (+ 2 alpha) 4)))) (+ (* -4 (/ (pow alpha 2) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* alpha (pow (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (+ 2 alpha))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) 2)) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 6) (pow (+ 2 alpha) 3)))) (+ (* 2 (/ alpha (* (pow (+ 1 (/ alpha (+ 2 alpha))) 3) (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* alpha (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* (+ 2 alpha) (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (pow (+ 1 (/ alpha (+ 2 alpha))) 4) (pow (+ 2 alpha) 4))))))))))))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (+ beta (* -1 (+ 1 alpha))) beta) |
(/ (+ 1 alpha) beta) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ alpha (* 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))))) |
(/ (pow alpha 2) (+ 2 alpha)) |
(+ (* -1 (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (+ 2 alpha))) |
(+ (* beta (- (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 3)) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha))) |
(+ (* beta (- (* beta (- (* -1 (/ (* (pow alpha 2) beta) (pow (+ 2 alpha) 4))) (* -1 (/ (pow alpha 2) (pow (+ 2 alpha) 3))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha))) |
(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
(+ (* -1 (/ (* (pow alpha 2) (* beta (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 4))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))) (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)))))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow (+ 2 alpha) 6))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(pow (+ 1 (/ alpha (+ 2 alpha))) 2) |
(+ (* -2 (/ (* alpha (* beta (+ 1 (/ alpha (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) |
(+ (* beta (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) |
(+ (* beta (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 2))) (* beta (+ (* 2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 3))) (+ (* beta (+ (* -2 (/ (* alpha (+ 1 (/ alpha (+ 2 alpha)))) (pow (+ 2 alpha) 4))) (* -2 (/ (pow alpha 2) (pow (+ 2 alpha) 5))))) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)) |
(/ 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)) |
(- (* -1 (/ alpha beta)) (+ 1 (* -2 (/ alpha beta)))) |
(- (+ (* -1 (/ alpha beta)) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))) (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (pow beta 2))) (* 2 (/ (* alpha (- (* -1 alpha) (* -2 alpha))) (pow beta 2))))))) |
(- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))) (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (pow beta 2))) (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 2 (* alpha (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* 2 (/ (* alpha (- (* -1 alpha) (* -2 alpha))) (pow beta 2))) (+ (* 2 (/ (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))) (* 2 (* alpha (- (* -1 alpha) (* -2 alpha))))))) (pow beta 3))) (+ (/ (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- (* -1 alpha) (* -2 alpha))) (pow beta 3)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)))))))))) |
(- (* -1 (/ alpha beta)) 1) |
(- (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))) (+ 1 (/ alpha beta))) |
(- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))) (+ 1 (+ (/ alpha beta) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (- (+ (/ (pow alpha 3) beta) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (* (pow alpha 3) (+ 2 alpha)) (pow beta 2))) (+ (/ (pow alpha 3) beta) (pow alpha 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (* (pow alpha 3) (+ 2 alpha)) (pow beta 2))) (+ (/ (* (pow alpha 3) (pow (+ 2 alpha) 2)) (pow beta 3)) (+ (/ (pow alpha 3) beta) (pow alpha 2)))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (+ (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))))))) (pow beta 2)) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 4 (+ alpha (* 2 alpha)))) (+ (* -2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* -2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2))) (+ (* 2 (* alpha (pow (+ 2 alpha) 2))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (pow (+ 2 alpha) 3)))))))) (pow beta 3)))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* 1/4 beta) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ alpha (/ 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))) |
(/ (pow alpha 2) beta) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) beta) |
(/ (- (+ (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2)) (pow alpha 2)) (/ (* (pow alpha 2) (+ 2 alpha)) beta)) beta) |
(/ (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (pow alpha 2) (+ 2 alpha)) beta))) beta) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ alpha beta))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))))) |
(* (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 (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(- (* -1 (/ (- alpha (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha))))) (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- alpha (* 2 alpha))))))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) beta)) (* -1 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) beta)) (* -1 alpha)) beta)) 1) |
(/ (+ (* -1 (/ (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -1 (pow alpha 3))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (pow alpha 3) (+ 2 alpha))) (* -1 (/ (- (* -1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* (pow (+ 2 alpha) 2) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha))))))) beta))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -1 (pow alpha 3))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1/2 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (* 1/2 (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ 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 (pow alpha 2)) (/ (* (pow alpha 2) (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta) (* (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | beta | @ | inf | ((/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (+ (* 1 alpha) (* beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* beta alpha) (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) (* (/ alpha (+ 2 (+ beta alpha))) alpha) (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (* alpha alpha) (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) (/ (+ 2 beta) alpha)) |
| 8.0ms | alpha | @ | 0 | ((/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (+ (* 1 alpha) (* beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* beta alpha) (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) (* (/ alpha (+ 2 (+ beta alpha))) alpha) (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (* alpha alpha) (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) (/ (+ 2 beta) alpha)) |
| 8.0ms | beta | @ | 0 | ((/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (+ (* 1 alpha) (* beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* beta alpha) (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) (* (/ alpha (+ 2 (+ beta alpha))) alpha) (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (* alpha alpha) (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) (/ (+ 2 beta) alpha)) |
| 8.0ms | alpha | @ | -inf | ((/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (+ (* 1 alpha) (* beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* beta alpha) (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) (* (/ alpha (+ 2 (+ beta alpha))) alpha) (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (* alpha alpha) (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) (/ (+ 2 beta) alpha)) |
| 7.0ms | alpha | @ | inf | ((/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2)) (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (/ (- (/ beta (+ 2 (+ alpha beta))) (/ (- (* (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (+ 1 (/ alpha (+ (+ alpha beta) 2)))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2))) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) (+ (* -1 (/ (+ 1 alpha) beta)) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (+ (* 1 alpha) (* beta alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* beta alpha) (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) alpha) (* -1/2 (- (- (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) beta) (+ 2 beta))) (* (/ alpha (+ 2 (+ beta alpha))) alpha) (/ (* (/ alpha (+ 2 (+ beta alpha))) alpha) (+ 2 (+ beta alpha))) (pow (+ 1 (/ alpha (+ (+ alpha beta) 2))) 2) (* alpha alpha) (* (+ (* 2 beta) 2) (/ (+ 2 beta) alpha)) (/ (+ 2 beta) alpha)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2090 | 18624 |
| 0 | 8046 | 17276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (/ alpha (+ 2 beta)) 1) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (+ (* alpha (- (* alpha (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (* 3 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(- (* -1 (/ alpha (+ 2 beta))) 1) |
(- (* alpha (- (* 2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(- (* alpha (- (* alpha (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))) 1) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(* (pow alpha 2) (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (+ (* -1 (* alpha (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (* 4 (/ 1 (pow (+ 2 beta) 6)))) (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))) (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
(/ (+ 1 beta) alpha) |
(* alpha (+ 1 beta)) |
(* alpha beta) |
(/ (* (+ 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) |
(/ (pow alpha 2) (+ 2 beta)) |
(* (pow alpha 2) (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(* (pow alpha 2) (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(+ 1 (* 2 (/ alpha (+ 2 beta)))) |
(+ 1 (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) |
(+ 1 (* alpha (+ (* alpha (- (/ (pow alpha 2) (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 2)))) (* 2 (/ 1 (+ 2 beta)))))) |
(pow alpha 2) |
(/ (+ 2 beta) alpha) |
(* -1/4 (/ (+ 8 (* 4 beta)) alpha)) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))) alpha) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))))) alpha) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 4)) (+ (* -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 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 3))))) (+ (* -1 (* (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (+ (* -1 (* (pow (+ 2 beta) 2) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 3) (+ 6 (+ beta (* 2 beta)))))))))) (pow alpha 3)))))) (+ (* -1 (/ (* (+ 2 beta) (- (* -1/4 (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))))))) (+ (* -1 (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta))))))) (* -1/16 (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))))))) (pow alpha 3))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* -4 (pow (+ 2 beta) 3)) (* -2 (pow (+ 2 beta) 3)))) (pow alpha 3))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (+ (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha)) (* 1/4 (/ (* (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 3))))))))) alpha) |
(* -1 (/ (+ 8 (* 4 beta)) alpha)) |
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (* -1 (/ (pow (+ 2 beta) 2) alpha))) (+ 8 (+ (* -1 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1 (/ (pow (+ 6 (+ beta (* 2 beta))) 2) alpha)) (+ (* 2 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 4 beta) (/ (* (+ 2 beta) (+ 4 (* 2 beta))) alpha))))))) alpha) |
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1/2 |
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(pow (+ 1 (/ alpha (+ 2 alpha))) 2) |
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(/ 4 alpha) |
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(/ 2 alpha) |
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(- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))) (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (pow beta 2))) (+ (* -1 (/ (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (* 2 (* alpha (pow (+ 2 alpha) 2)))) (pow beta 3))) (+ (* 2 (/ (* alpha (- (* -1 alpha) (* -2 alpha))) (pow beta 2))) (+ (* 2 (/ (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))) (* 2 (* alpha (- (* -1 alpha) (* -2 alpha))))))) (pow beta 3))) (+ (/ (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- (* -1 alpha) (* -2 alpha))) (pow beta 3)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3)))))))))) |
(- (* -1 (/ alpha beta)) 1) |
(- (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))) (+ 1 (/ alpha beta))) |
(- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ (/ (* alpha (+ 2 alpha)) (pow beta 2)) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3))))) (+ 1 (+ (/ alpha beta) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow beta 3))))) |
(/ (pow alpha 2) (pow beta 2)) |
(/ (- (+ (/ (pow alpha 3) beta) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (* (pow alpha 3) (+ 2 alpha)) (pow beta 2))) (+ (/ (pow alpha 3) beta) (pow alpha 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (* (pow alpha 3) (+ 2 alpha)) (pow beta 2))) (+ (/ (* (pow alpha 3) (pow (+ 2 alpha) 2)) (pow beta 3)) (+ (/ (pow alpha 3) beta) (pow alpha 2)))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (+ (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))))))) (pow beta 2)) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* -1/2 (/ (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/2 (/ (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (pow (+ 2 alpha) 2)) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) (pow beta 2))) (* 1/2 (/ (- (* (pow alpha 2) (+ 4 (+ alpha (* 2 alpha)))) (+ (* -2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* -2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2))) (+ (* 2 (* alpha (pow (+ 2 alpha) 2))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (pow (+ 2 alpha) 3)))))))) (pow beta 3)))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* 1/4 beta) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ alpha (/ 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))) |
(/ (pow alpha 2) beta) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) beta) |
(/ (- (+ (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2)) (pow alpha 2)) (/ (* (pow alpha 2) (+ 2 alpha)) beta)) beta) |
(/ (- (+ (* -1 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (pow alpha 2) (+ 2 alpha)) beta))) beta) |
(/ (+ (* -1 (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))) (pow beta 2))) (pow alpha 2)) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta)) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* -1 (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (* -1 (* (pow alpha 2) (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 4 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2))))) (pow beta 2)) |
(+ 1 (* 2 (/ alpha beta))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(+ 1 (+ (* -2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) (pow beta 3))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))))) |
(* (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 (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))) |
(- (* -1 (/ (- alpha (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (+ (* -2 (* alpha (- (+ (* alpha (+ 2 alpha)) (pow alpha 2)) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))))) (+ (* -2 (* (pow alpha 2) (+ 2 alpha))) (+ (* -1 (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha))))) (* (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) (- alpha (* 2 alpha))))))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) (+ (* -2 (* alpha (- alpha (* 2 alpha)))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) beta))) (* 2 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow alpha 2)) beta)) (* -1 alpha)) beta)) 1) |
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (pow alpha 3)) (* alpha (pow (+ 2 alpha) 2))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (+ (* alpha (+ 2 alpha)) (pow alpha 2))) beta)) (* -1 alpha)) beta)) 1) |
(/ (+ (* -1 (/ (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -1 (pow alpha 3))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (pow alpha 3) (+ 2 alpha))) (* -1 (/ (- (* -1 (* (pow alpha 3) (pow (+ 2 alpha) 2))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))))) (* (pow (+ 2 alpha) 2) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha))))))) beta))) (+ (* -2 (* (+ 2 alpha) (- (* -1 (pow alpha 3)) (* -2 (* (pow alpha 2) (+ 2 alpha)))))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -1 (pow alpha 3))) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1/2 (/ (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (pow alpha 2) (+ (* -2 (+ 2 alpha)) (* -1 alpha))) (pow (+ 2 alpha) 3)) (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (+ (* 2 (* alpha (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (+ (* 2 (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)))) (+ (* 2 (* (pow alpha 2) (+ 2 alpha))) (+ (* alpha (+ (* -2 (* alpha (+ 2 alpha))) (* -1 (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2))))) (* alpha (pow (+ 2 (+ alpha (* 2 alpha))) 2)))))))) beta)) (* 1/2 (- (pow (+ 2 alpha) 2) (+ (* -4 (pow alpha 2)) (+ (* -2 (* alpha (+ 2 alpha))) (+ (* 2 (pow alpha 2)) (* alpha (+ 2 (+ alpha (* 2 alpha)))))))))) beta)) (* 1/2 (- (+ 2 (+ alpha (* -1 alpha))) (* -2 alpha)))) beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ 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 (pow alpha 2)) (/ (* (pow alpha 2) (+ 2 alpha)) beta)) beta)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta) (* (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* 2 (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta))) (+ (* -4 (* (pow alpha 2) (pow (+ 2 alpha) 2))) (* (pow alpha 2) (pow (+ 2 alpha) 2)))) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (/ alpha (+ 2 beta)) 1) |
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* alpha (+ (* alpha (- (* alpha (+ (* -1 (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (* 3 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* -1 (/ alpha (+ 2 beta))) 1) |
(-.f64 (/.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(- (* alpha (- (* 2 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(- (* alpha (- (* alpha (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (* 2 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta)))) 1) |
(-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha) #s(literal 1 binary64)) |
(/ (pow alpha 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* (pow alpha 2) (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (+ (* -1 (* alpha (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 6))) (* 4 (/ 1 (pow (+ 2 beta) 6)))) (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))))) (+ (* 2 (/ 1 (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 3)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 3))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* alpha (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))) (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2)))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (+ 2 beta)) (+ (* 2 (/ 1 (+ 2 beta))) (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* 1/2 (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (+ (* 6 (/ 1 (pow (+ 2 beta) 4))) (* 8 (/ 1 (pow (+ 2 beta) 3))))) (* 12 (/ 1 (pow (+ 2 beta) 3)))))) (* 1/2 (- (* 5 (/ 1 (pow (+ 2 beta) 2))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (* 4 (/ 1 (pow (+ 2 beta) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal 12 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (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 #s(literal 1 binary64) alpha) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(+.f64 #s(literal 1 binary64) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(* alpha (+ 1 beta)) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(* alpha beta) |
(*.f64 beta alpha) |
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.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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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 alpha 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) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (*.f64 alpha alpha)) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (* alpha (+ 2 (* 2 beta))))) alpha) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (pow alpha 2) (+ 2 beta)) |
(/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) beta)) |
(* (pow alpha 2) (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) |
(* (pow alpha 2) (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
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(* (pow alpha 2) (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) |
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(* (pow alpha 2) (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))) (* -1 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))) (/ 1 (pow (+ 2 beta) 4))))) (+ (* 2 (/ beta (pow (+ 2 beta) 4))) (* 4 (/ 1 (pow (+ 2 beta) 4)))))) (/ 1 (pow (+ 2 beta) 2)))) |
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(+ 1 (* 2 (/ alpha (+ 2 beta)))) |
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))))) |
(fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (+ (* alpha (- (/ (pow alpha 2) (pow (+ 2 beta) 4)) (/ 1 (pow (+ 2 beta) 2)))) (* 2 (/ 1 (+ 2 beta)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64)) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(/ (+ 2 beta) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(* -1/4 (/ (+ 8 (* 4 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 8 binary64)) alpha) #s(literal -1/4 binary64)) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) beta #s(literal 8 binary64)) #s(literal -1/4 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) beta #s(literal 8 binary64))) alpha)) alpha) |
(/ (- (+ (* -1/4 (+ 8 (* 4 beta))) (+ (* -1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* -1 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta))))))) (pow alpha 2))) (* 1/4 (/ (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta))))))) alpha)))) (+ (* -1 (/ (* (+ 2 beta) (- (* 1/4 (- (* -1 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 4 (* 2 beta)) 2)) (+ (* -1 (pow (+ 6 (+ beta (* 2 beta))) 2)) (+ (* 2 (pow (+ 2 beta) 2)) (* (+ 2 beta) (+ 4 (* 2 beta)))))))) (* 1/4 (* (+ 2 beta) (+ 8 (* 4 beta)))))) (pow alpha 2))) (+ (* -1/16 (/ (* (+ 8 (* 4 beta)) (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (pow alpha 2))) (* 1/4 (/ (* (+ 2 beta) (+ 8 (* 4 beta))) alpha))))) alpha) |
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(* -1 (/ (- (* 2 (+ 2 beta)) (* -2 (+ 2 beta))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (/ (- (+ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2))))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))) alpha)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) (+ (* -4 (pow (+ 2 beta) 2)) (* 2 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))) (* -2 (+ 2 beta))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (+ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) (pow (+ 2 beta) 3)))) (+ (* (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) (* (pow (+ 2 beta) 3) (+ 2 (+ beta (* 2 (+ 2 beta))))))) (+ (* -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))))) (pow (+ 2 beta) 4)))) alpha)) (+ (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2)))) (* (+ 2 (+ beta (* 2 (+ 2 beta)))) (+ (* -2 (pow (+ 2 beta) 2)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))))) (+ (* 2 (* (+ 2 beta) (+ (* -4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 2 (pow (+ 2 beta) 3)))) alpha)) (+ (* -1 (pow (+ 2 beta) 2)) (pow (+ 2 (+ beta (* 2 (+ 2 beta)))) 2)))) (+ (* -4 (pow (+ 2 beta) 2)) (* 2 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))) (* -2 (+ 2 beta))) alpha)) |
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(+ 2 (* -1 (/ (- (+ 2 beta) (* -4 (+ 2 beta))) alpha))) |
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(* -1/2 (/ (- (+ (* -1 beta) (+ (* 1/16 (+ (* -8 (+ 2 beta)) (* 4 (+ 2 beta)))) (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 beta)))))) (+ (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/4 (+ 2 beta)))) alpha)) |
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(* -1 (/ (+ (* -1/2 (/ (- (+ (* -1/64 (pow (+ (* -8 (+ 2 beta)) (* 4 (+ 2 beta))) 2)) (+ (* 1/64 (pow (+ (* -4 (+ 2 beta)) (* 4 (+ 2 beta))) 2)) (+ (* 1/16 (+ (* -8 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2)))) (* 1/16 (+ (* -1 (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* 4 (pow (+ 2 beta) 2))))))) (+ (* -1/4 (pow (+ 2 beta) 2)) (+ (* 1/64 (pow (+ (* -4 (+ 2 beta)) (* 4 (+ 2 (+ beta (* 2 (+ 2 beta)))))) 2)) (+ (* 1/16 (+ (* -1 (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (+ (* 4 (* (+ 2 beta) (+ 2 (+ beta (* 2 (+ 2 beta)))))) (* 4 (+ (* -2 (pow (+ 2 beta) 2)) (* -1 (pow (+ 2 beta) 2))))))) (+ (* 1/16 (+ (* 4 (pow (+ 2 beta) 2)) (pow (+ 2 beta) 2))) (* beta (+ 2 beta))))))) alpha)) (* 1/2 (- (+ (* -1 beta) (+ (* 1/16 (+ (* -8 (+ 2 beta)) (* 4 (+ 2 beta)))) (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 beta)))))) (+ (* 1/16 (+ (* -4 (+ 2 beta)) (* 4 (+ 2 (+ beta (* 2 (+ 2 beta))))))) (* 1/4 (+ 2 beta)))))) alpha)) |
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1/2 |
#s(literal 1/2 binary64) |
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(* -1 (/ (+ 1 alpha) beta)) |
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(/ (- (+ (* -1 (/ (* (pow alpha 3) (+ 2 alpha)) (pow beta 2))) (+ (/ (* (pow alpha 3) (pow (+ 2 alpha) 2)) (pow beta 3)) (+ (/ (pow alpha 3) beta) (pow alpha 2)))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -1 (* (pow alpha 3) (+ 2 alpha))) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (* (pow alpha 2) (pow (+ 2 alpha) 2))))) (pow beta 3)) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 2)) (+ (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) beta) (+ (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 3) (* (pow alpha 2) (+ 4 (* 2 alpha))))) (pow beta 3))))))) (pow beta 2)) |
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(fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 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 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 (neg.f64 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 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) #s(literal 2 binary64)) alpha) beta)) #s(literal 1/2 binary64))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (* beta (+ (* -1 alpha) (* -1 (/ alpha beta))))) |
(*.f64 (neg.f64 beta) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 alpha beta) alpha))) |
(* (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)) |
(* (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 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) alpha)) #s(literal -1/2 binary64))) beta)) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta)) |
(* -1 (/ (+ (* -1 (pow alpha 2)) (/ (* (pow alpha 2) (+ 2 alpha)) beta)) beta)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (*.f64 alpha alpha))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) beta) #s(literal -1 binary64) (neg.f64 (*.f64 alpha alpha))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow alpha 2) (pow (+ 2 alpha) 3)) beta) (* (pow alpha 2) (pow (+ 2 alpha) 2))) beta)) (* (pow alpha 2) (+ 2 alpha))) beta)) (* -1 (pow alpha 2))) beta)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 (neg.f64 (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) beta) #s(literal -1 binary64) (neg.f64 (*.f64 alpha alpha))) beta)) |
(/ (+ (* -2 (/ (* (pow alpha 2) (+ 2 alpha)) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -2 binary64) (*.f64 alpha alpha)) (*.f64 beta beta)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (/ (* (pow alpha 2) (pow (+ 2 alpha) 2)) beta)) (* -2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2)) (pow beta 2)) |
(/.f64 (fma.f64 alpha alpha (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (*.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) 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 (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha))) beta) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta)))) (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 alpha alpha)))) beta) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha))) beta))) (*.f64 beta beta)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (pow alpha 2)) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) alpha) #s(literal -2 binary64) (*.f64 alpha alpha))) beta)) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (+ (* -2 (* alpha (+ 2 alpha))) (+ (* -1 (/ (+ (* -2 (* alpha (pow (+ 2 alpha) 2))) (* 2 (* (pow alpha 2) (+ 2 alpha)))) beta)) (pow alpha 2))) beta))) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (fma.f64 alpha alpha (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -2 binary64)))) beta))) beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 432 |
| 0 | 93 | 429 |
| 1 | 442 | 395 |
| 2 | 3628 | 379 |
| 0 | 8180 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.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) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
(*.f64 beta alpha) |
(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) |
(*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) |
(/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 alpha alpha) |
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(/.f64 (*.f64 (neg.f64 (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (-.f64 (*.f64 beta #s(literal 2 binary64)) #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 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) 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 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 (+.f64 beta #s(literal 2 binary64)))) (neg.f64 alpha)) |
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 alpha)) |
(/.f64 (*.f64 (neg.f64 (+.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (neg.f64 alpha) (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 beta #s(literal 2 binary64))) (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 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)) (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 alpha (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 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 (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (+.f64 beta #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 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 (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 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) |
(/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) |
(fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 beta #s(literal 2 binary64)) (*.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 beta #s(literal 2 binary64)) alpha) (*.f64 beta #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) |
(+.f64 (*.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 beta alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (*.f64 beta #s(literal 2 binary64))) (*.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 beta #s(literal 2 binary64)) alpha) (*.f64 beta #s(literal 2 binary64)))) |
(+.f64 (*.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 beta alpha))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha))))) |
(/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) alpha) |
(/.f64 (neg.f64 (neg.f64 (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (*.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 (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) alpha)) |
(/.f64 (neg.f64 (+.f64 beta #s(literal 2 binary64))) (neg.f64 alpha)) |
(/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(/.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)) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) |
Compiled 52 152 to 5 102 computations (90.2% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 710 | 11 | 721 |
| Fresh | 5 | 12 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 718 | 29 | 747 |
| Status | Accuracy | Program |
|---|---|---|
| 72.5% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 72.1% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 73.3% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 73.4% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ✓ | 73.3% | (/.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)) |
| 32.0% | (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) | |
| 31.9% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) | |
| 52.4% | #s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| 70.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) | |
| 27.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) | |
| 16.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) | |
| ✓ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ✓ | 30.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
| 30.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| 31.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) | |
| 23.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) | |
| 14.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) | |
| 25.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) | |
| 16.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) | |
| 16.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) | |
| 10.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) | |
| 25.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) | |
| 47.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 49.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| 48.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) | |
| 4.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) | |
| ✓ | 51.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 32.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 3 028 to 989 computations (67.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (fma.f64 (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.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))) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
5 calls:
| 16.0ms | alpha |
| 15.0ms | beta |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 10.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #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)) |
| 96.3% | 2 | alpha |
| 73.4% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
3 calls:
| 18.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 beta) 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)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal -1/2 binary64))) alpha)) (*.f64 alpha alpha))) (neg.f64 alpha))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 6 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 beta))) #s(literal -1 binary64) #s(literal -1 binary64)) beta)) beta) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
3 calls:
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 13.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #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)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (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)) |
3 calls:
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) 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 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (* -1/2 (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) beta))) (/.f64 #s(literal 1 binary64) alpha)) (*.f64 beta beta))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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)) |
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)) |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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 #s(literal 2 binary64) beta)) alpha) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 7.0ms | (+.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64)) alpha))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.7% | 2 | (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.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 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.7% | 2 | (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 6.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.7% | 2 | (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) alpha) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 beta alpha)) (*.f64 alpha alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (- (- (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) beta) (+ 2 beta)) (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.4% | 2 | (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 beta alpha alpha) (*.f64 alpha alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) (/.f64 #s(literal -1/2 binary64) alpha))) |
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) #s(literal 2 binary64)) beta) 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
3 calls:
| 5.0ms | (/.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 |
|---|---|---|
| 98.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.0% | 2 | (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))) |
4 calls:
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | alpha |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | alpha |
| 97.7% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.7% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1/4 binary64)) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 97.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.6% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.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 |
|---|---|---|
| 90.8% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.8% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
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))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.4% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1 alpha) (* beta alpha)) (* alpha alpha)) (/.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 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 |
|---|---|---|
| 90.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 90.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 90.4% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 2.0ms | alpha |
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1.0ms | (/.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 |
|---|---|---|
| 69.3% | 2 | beta |
| 55.6% | 2 | alpha |
| 69.1% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 69.1% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 69.1% | 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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | beta |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 69.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 69.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 69.0% | 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 |
|---|---|---|
| 32.0% | 1 | alpha |
| 32.0% | 1 | beta |
| 32.0% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 32.0% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 32.0% | 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 | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043430933437953e-7 | 0.0019656353053231768 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4547690829758153e-10 | 5.043430933437953e-7 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
| 0.0ms | 0.0019656353053231768 | 0.3880755080405499 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.05363504459324376 | 41253811.379700914 |
| 11.0ms | 28× | 2 | valid |
| 5.0ms | 91× | 0 | valid |
| 4.0ms | 25× | 1 | valid |
Compiled 403 to 321 computations (20.3% saved)
adjust: 4.0ms (36.2% of total)ival-div: 3.0ms (27.2% of total)ival-add: 3.0ms (27.2% of total)ival-sub: 1.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5005471207330312 | 0.7780991719462194 |
Compiled 16 to 15 computations (6.3% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1734 |
| 1 | 289 | 1710 |
| 2 | 512 | 1706 |
| 3 | 1358 | 1706 |
| 4 | 7280 | 1706 |
| 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (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))) |
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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))) |
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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 1152921504606847/576460752303423488 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 alpha (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 2 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 alpha))) (/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (- (- (neg beta) beta) 2) 1/2) (/ (* -1/2 (- (* (+ (* 2 beta) 2) (+ 2 beta)) (/ (* (+ (* 2 beta) 2) (pow (+ 2 beta) 2)) alpha))) (neg alpha))) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha))) beta (-.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (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))) |
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) 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))) |
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(approx (/ (+ 2 beta) alpha) (/.f64 #s(literal 2 binary64) alpha))) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(approx (/ (* (+ (* 2 beta) 2) (+ 2 beta)) alpha) (/.f64 #s(literal 4 binary64) alpha)) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #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 1152921504606847/576460752303423488 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 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.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 (+ (* (/ beta (+ 2 beta)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 1 734 to 201 computations (88.4% saved)
Compiled 3 494 to 422 computations (87.9% saved)
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