
Time bar (total: 4.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 50% | 28.1% | 28.1% | 43.8% | 0% | 0% | 0% | 2 |
| 75% | 42.1% | 14% | 43.8% | 0% | 0% | 0% | 3 |
| 87.5% | 49.2% | 7% | 43.8% | 0% | 0% | 0% | 4 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 5 |
| 96.9% | 54.4% | 1.8% | 43.8% | 0% | 0% | 0% | 6 |
| 98.4% | 55.3% | 0.9% | 43.8% | 0% | 0% | 0% | 7 |
| 99.2% | 55.7% | 0.4% | 43.8% | 0% | 0% | 0% | 8 |
| 99.6% | 56% | 0.2% | 43.8% | 0% | 0% | 0% | 9 |
| 99.8% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 10 |
| 99.9% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 11 |
| 100% | 56.1% | 0% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 603.0ms | 6 015× | 0 | valid |
| 332.0ms | 1 442× | 1 | valid |
| 229.0ms | 799× | 2 | valid |
ival-add: 258.0ms (29.9% of total)adjust: 234.0ms (27.1% of total)ival-div: 196.0ms (22.7% of total)ival-sub: 83.0ms (9.6% of total)ival->: 62.0ms (7.2% of total)exact: 15.0ms (1.7% of total)ival-and: 12.0ms (1.4% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 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 | 68 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 68 | 0 |
| - | 0 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 68 | 0 | 0 |
| - | 0 | 0 | 188 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 68 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 376× | 0 | valid |
| 30.0ms | 54× | 2 | valid |
| 15.0ms | 82× | 1 | valid |
Compiled 113 to 34 computations (69.9% saved)
ival-add: 48.0ms (57.1% of total)ival-div: 17.0ms (20.2% of total)adjust: 14.0ms (16.7% of total)ival-sub: 4.0ms (4.8% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 73 |
| 1 | 69 | 73 |
| 2 | 166 | 73 |
| 3 | 402 | 73 |
| 4 | 1384 | 69 |
| 5 | 6981 | 69 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 31 | 13 |
| 2 | 58 | 13 |
| 3 | 131 | 13 |
| 4 | 450 | 13 |
| 5 | 3492 | 13 |
| 6 | 6902 | 13 |
| 0 | 8111 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.7% | (/.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)
| 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 |
|---|
(* 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 |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) beta alpha (+ (+ alpha beta) 2) (+ alpha beta) 2 1) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) beta alpha (+ (+ alpha beta) 2) (+ alpha beta) 2 1) |
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) beta alpha (+ (+ alpha beta) 2) (+ alpha beta) 2 1) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) beta alpha (+ (+ alpha beta) 2) (+ alpha beta) 2 1) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) beta alpha (+ (+ alpha beta) 2) (+ alpha beta) 2 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2177 |
| 1 | 1507 | 2025 |
| 2 | 6757 | 1937 |
| 0 | 9039 | 1843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(- beta alpha) |
(+ 2 alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
| Outputs |
|---|
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 beta #s(literal -2 binary64)))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
alpha |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) alpha)) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) beta) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha)) #s(literal -2 binary64)) (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha)) alpha))) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (/.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) beta (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha)) alpha))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) alpha) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1 binary64))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 beta alpha)) (-.f64 (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha)) alpha) #s(literal -1 binary64))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64)))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) #s(literal 1/2 binary64))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) beta)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (/.f64 (+.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 beta beta)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64)) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 alpha) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) beta)) (+.f64 (pow.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) alpha) beta)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64))) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (-.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 86 | 48 |
| 0 | 703 | 48 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
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 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal -2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha beta)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha beta))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta))) (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)))) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (neg.f64 (-.f64 alpha beta))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 alpha beta)))) |
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) |
(+.f64 (/.f64 (pow.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Compiled 5 024 to 845 computations (83.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 9 | 171 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 163 | 9 | 172 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 64.7% | (/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 75.4% | (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 74.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| 25.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) | |
| 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 26.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) | |
| ▶ | 33.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
| ▶ | 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
| ▶ | 40.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 436 to 300 computations (31.2% saved)
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) |
(/.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
2 |
(+ 2 alpha) |
(+ 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 alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1/2 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta 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) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* alpha (+ 1 (* 2 (/ 1 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))))) |
(- (/ beta alpha) 1) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (- (* -1 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) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- beta alpha) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- 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)))))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(+ 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 alpha) (/ 1 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))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(- (+ 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 (- (/ 1 beta) (/ 1 alpha)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | alpha | @ | -inf | ((+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) beta alpha (* (+ 2 (+ alpha beta)) 2) (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- alpha -2) -2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (- (/ beta alpha) 1) (/ beta alpha) (+ (+ alpha beta) 2)) |
| 4.0ms | beta | @ | 0 | ((+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) beta alpha (* (+ 2 (+ alpha beta)) 2) (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- alpha -2) -2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (- (/ beta alpha) 1) (/ beta alpha) (+ (+ alpha beta) 2)) |
| 4.0ms | alpha | @ | inf | ((+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) beta alpha (* (+ 2 (+ alpha beta)) 2) (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- alpha -2) -2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (- (/ beta alpha) 1) (/ beta alpha) (+ (+ alpha beta) 2)) |
| 3.0ms | alpha | @ | 0 | ((+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) beta alpha (* (+ 2 (+ alpha beta)) 2) (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- alpha -2) -2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (- (/ beta alpha) 1) (/ beta alpha) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | -inf | ((+ (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) 1/2) (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) (- beta alpha) beta alpha (* (+ 2 (+ alpha beta)) 2) (+ 2 (+ alpha beta)) 2 (+ alpha beta) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (- 1 (/ alpha (- alpha -2))) (/ alpha (- alpha -2)) (- alpha -2) -2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (* (- (/ beta alpha) 1) alpha) (- (/ beta alpha) 1) (/ beta alpha) (+ (+ alpha beta) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 3987 |
| 1 | 2328 | 3667 |
| 0 | 8492 | 3515 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ beta (+ 2 beta))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(* 2 (+ 2 beta)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
2 |
(+ 2 alpha) |
(+ 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 alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
-1/2 |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (/ beta 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) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* alpha (+ 1 (* 2 (/ 1 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))))) |
(- (/ beta alpha) 1) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (/ (- (* -1 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) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(* -1/2 (/ alpha (+ 2 alpha))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- beta alpha) |
(* 2 (+ 2 alpha)) |
(+ (* 2 beta) (* 2 (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(- 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)))))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(+ 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 alpha) (/ 1 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))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(- (+ 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 (- (/ 1 beta) (/ 1 alpha)))) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ beta (+ 2 beta))) |
(*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64))))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
alpha |
(* 2 (+ 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ (* 2 alpha) (* 2 (+ 2 beta))) |
(fma.f64 #s(literal 2 binary64) alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1 (* -1/2 alpha)) |
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(* 1/2 alpha) |
(*.f64 #s(literal 1/2 binary64) alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
(+ 1 (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64)))) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(/.f64 (-.f64 beta alpha) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal -2 binary64))) alpha)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal -2 binary64))) alpha)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) beta))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 1/2) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 1/2) |
(+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) |
(- (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 1/2) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) beta)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))) #s(literal 1/2 binary64)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 2 binary64) #s(literal 2 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* 1/2 (/ (+ 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 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64) (+.f64 #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 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64) (+.f64 #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 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) beta))) alpha) |
(* -1 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta)) alpha) |
(/ alpha beta) |
(/.f64 alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) beta) alpha) |
(* alpha (+ 1 (/ 1 alpha))) |
(-.f64 alpha #s(literal -1 binary64)) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(/ 2 alpha) |
(/.f64 #s(literal 2 binary64) alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) #s(literal -2 binary64)) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(-.f64 alpha #s(literal -2 binary64)) |
(/ (+ 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 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta #s(literal -2 binary64)) (*.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 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha))) (fma.f64 beta (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 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 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha)))) #s(literal -2 binary64)) (fma.f64 (neg.f64 beta) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) 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 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 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))))) |
(fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))))) |
(- (/ beta alpha) 1) |
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha)) |
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64)))) beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))))) beta (/.f64 (neg.f64 alpha) (-.f64 alpha #s(literal -2 binary64)))) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))))) |
(+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)))) |
(+ 1/2 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)) #s(literal 1/2 binary64))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (* 2 (/ (+ 2 alpha) beta)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 2 binary64) #s(literal 2 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) beta) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta)) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) 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)))))) |
(-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) (pow.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 3 binary64)))) |
(- (+ 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 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(-.f64 (fma.f64 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta))) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta)) beta) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (*.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal -2 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (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 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 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 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (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 (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta))) beta) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) beta)) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 234 |
| 0 | 56 | 234 |
| 1 | 237 | 234 |
| 0 | 1982 | 227 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) |
(/.f64 beta alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #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 2 binary64))) |
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(fma.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) 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 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) 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 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) 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 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)))) (neg.f64 (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha))) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (neg.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
#s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(*.f64 alpha (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha) (-.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64)) alpha) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))) |
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))) |
(fma.f64 (/.f64 beta alpha) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (/.f64 beta alpha) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta alpha) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 beta alpha)))) |
(-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) |
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) |
(*.f64 (/.f64 beta alpha) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 beta alpha)) |
(/.f64 (*.f64 (neg.f64 beta) #s(literal 1 binary64)) (neg.f64 alpha)) |
(/.f64 (*.f64 beta #s(literal 1 binary64)) alpha) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 alpha))) |
(/.f64 (neg.f64 beta) (neg.f64 alpha)) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 (neg.f64 beta) alpha)) |
(neg.f64 (/.f64 beta (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta))))) |
(/.f64 (neg.f64 (-.f64 #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 (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 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) |
(/.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))) (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 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 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 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 1 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 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) |
Compiled 14 293 to 2 037 computations (85.7% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 12 | 470 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 464 | 15 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.4% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| 74.9% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 2 binary64) #s(literal 2 binary64)) beta))) #s(literal 1/2 binary64)) | |
| 3.7% | (+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) | |
| ▶ | 74.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| ▶ | 33.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| 36.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| 46.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 45.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 21.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| ▶ | 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ▶ | 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 40.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 699 to 518 computations (25.9% saved)
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(+ alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(/ 1 alpha) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
-1/2 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* alpha (+ 1 (/ beta 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) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -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 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta alpha) |
(+ 4 (* 2 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(+ 2 beta) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 1 alpha) 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)))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | alpha | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (+ alpha beta) 2 4 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) -2) |
| 3.0ms | alpha | @ | -inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (+ alpha beta) 2 4 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) -2) |
| 3.0ms | beta | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (+ alpha beta) 2 4 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) -2) |
| 2.0ms | alpha | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (+ alpha beta) 2 4 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) -2) |
| 2.0ms | beta | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (+ alpha beta) 2 4 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (/ 1 alpha) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ (+ 1 alpha) beta)) (/ (+ 1 alpha) beta) (+ 1 alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) -2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 671 | 3177 |
| 1 | 2259 | 2881 |
| 0 | 8563 | 2598 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(+ alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(/ 1 alpha) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ 1 beta) |
(+ (/ 1 beta) (/ alpha beta)) |
1 |
(+ 1 alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
-1/2 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* alpha (+ 1 (/ beta 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) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))) |
(* alpha (+ 1 (/ 1 alpha))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -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 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta alpha) |
(+ 4 (* 2 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* -1 (/ (+ 1 alpha) beta)) |
(/ (- beta (+ 1 alpha)) beta) |
(/ (+ 1 alpha) beta) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(+ 2 beta) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* beta (+ 1 (/ alpha beta))) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+ 1 (* -1 (/ (+ 1 alpha) 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)))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ 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))) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(/ beta (+ 4 (* 2 beta))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) alpha) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
alpha |
(+ 4 (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) |
(+ alpha beta) |
(+.f64 alpha beta) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(+ (/ 1 beta) (/ alpha beta)) |
(/.f64 (-.f64 alpha #s(literal -1 binary64)) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 alpha) |
(-.f64 alpha #s(literal -1 binary64)) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) beta)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 (*.f64 #s(literal 1/16 binary64) beta) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) 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) |
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(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) beta) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) beta) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) beta #s(literal 1/8 binary64)) beta) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) beta) |
2 |
#s(literal 2 binary64) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) alpha) (*.f64 beta beta)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) alpha) (*.f64 beta beta)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) beta) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64)) beta) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)))) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) (/.f64 alpha beta)) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) beta) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* 2 beta) |
(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (+ 1 alpha) beta))) |
(/.f64 (-.f64 (-.f64 beta alpha) #s(literal 1 binary64)) beta) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(- 1 (* 2 (/ 1 beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+ 1 (* 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 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta)) beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 202 |
| 0 | 49 | 202 |
| 1 | 228 | 202 |
| 0 | 1880 | 202 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta)) |
(/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta) |
#s(approx (+ 1 alpha) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 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 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal -4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) (-.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) (+.f64 alpha beta) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
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(+.f64 (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) beta)) |
(*.f64 (/.f64 beta (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (neg.f64 beta) (neg.f64 (-.f64 beta #s(literal -2 binary64)))) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(neg.f64 (/.f64 (neg.f64 beta) (-.f64 beta #s(literal -2 binary64)))) |
(neg.f64 (/.f64 beta (neg.f64 (-.f64 beta #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 beta beta #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) beta))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (fma.f64 beta beta #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) beta)) |
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) beta))) |
(-.f64 (/.f64 (pow.f64 beta #s(literal 3 binary64)) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))) |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Compiled 8 662 to 1 249 computations (85.6% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 4 | 274 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 272 | 17 | 289 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 75.4% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| ▶ | 74.9% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
| ▶ | 3.7% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 74.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| ▶ | 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| ✓ | 33.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| 36.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| 42.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ▶ | 43.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| ▶ | 46.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| 45.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 21.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| ✓ | 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ✓ | 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 40.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 708 to 531 computations (25% saved)
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/8 binary64) alpha) |
#s(literal 1/8 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) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* beta (+ 2 (* 4 (/ 1 beta)))) |
(+ (* 2 alpha) (* beta (+ 2 (* 4 (/ 1 beta))))) |
(+ 2 (* 4 (/ 1 beta))) |
(+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(/ 4 beta) |
(+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))) |
4 |
(+ 4 (* 2 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
-1/4 |
(- (* 1/8 alpha) 1/4) |
(* 1/8 alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
-1/2 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* alpha (+ 2 (/ (* beta (+ 2 (* 4 (/ 1 beta)))) alpha))) |
(* 2 (/ alpha beta)) |
(* alpha (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 4 (* alpha beta))))) |
(* alpha (+ (* 2 (/ 1 beta)) (* 4 (/ 1 (* alpha beta))))) |
(* alpha (+ 2 (* 4 (/ 1 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) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (* beta (+ 2 (* 4 (/ 1 beta)))) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 4 (/ 1 beta))) alpha)) (* 2 (/ 1 beta))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta alpha) |
(/ (+ 4 (* 2 alpha)) beta) |
(/ (+ 4 (+ (* 2 alpha) (* 2 beta))) beta) |
(* 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 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
2 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- 1 (/ 1 beta)) |
(- (+ 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)))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(+ 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | beta | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (* (- (/ (+ (* 2 alpha) 4) beta) -2) beta) (- (/ (+ (* 2 alpha) 4) beta) -2) (/ (+ (* 2 alpha) 4) beta) (+ (* 2 alpha) 4) 2 4 -2 1/2 (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) -1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (* 1/8 alpha) 1/8 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1) |
| 4.0ms | beta | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (* (- (/ (+ (* 2 alpha) 4) beta) -2) beta) (- (/ (+ (* 2 alpha) 4) beta) -2) (/ (+ (* 2 alpha) 4) beta) (+ (* 2 alpha) 4) 2 4 -2 1/2 (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) -1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (* 1/8 alpha) 1/8 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1) |
| 4.0ms | alpha | @ | 0 | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (* (- (/ (+ (* 2 alpha) 4) beta) -2) beta) (- (/ (+ (* 2 alpha) 4) beta) -2) (/ (+ (* 2 alpha) 4) beta) (+ (* 2 alpha) 4) 2 4 -2 1/2 (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) -1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (* 1/8 alpha) 1/8 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1) |
| 3.0ms | alpha | @ | -inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (* (- (/ (+ (* 2 alpha) 4) beta) -2) beta) (- (/ (+ (* 2 alpha) 4) beta) -2) (/ (+ (* 2 alpha) 4) beta) (+ (* 2 alpha) 4) 2 4 -2 1/2 (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) -1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (* 1/8 alpha) 1/8 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1) |
| 3.0ms | alpha | @ | inf | ((+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) (- beta alpha) beta alpha (+ (* (+ alpha beta) 2) 4) (* (- (/ (+ (* 2 alpha) 4) beta) -2) beta) (- (/ (+ (* 2 alpha) 4) beta) -2) (/ (+ (* 2 alpha) 4) beta) (+ (* 2 alpha) 4) 2 4 -2 1/2 (+ (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) 1/2) (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) -1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* 1/4 beta) 1/2) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (- alpha -2))) 1/2) (+ (* (- (* 1/8 alpha) 1/4) alpha) 1/2) (- (* 1/8 alpha) 1/4) (* 1/8 alpha) 1/8 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 3154 |
| 1 | 2242 | 2885 |
| 0 | 8609 | 2597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(/ beta (+ 4 (* 2 beta))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
beta |
(+ beta (* -1 alpha)) |
alpha |
(+ 4 (* 2 beta)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(* beta (+ 2 (* 4 (/ 1 beta)))) |
(+ (* 2 alpha) (* beta (+ 2 (* 4 (/ 1 beta))))) |
(+ 2 (* 4 (/ 1 beta))) |
(+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(/ 4 beta) |
(+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))) |
4 |
(+ 4 (* 2 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
-1/4 |
(- (* 1/8 alpha) 1/4) |
(* 1/8 alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
-1/2 |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* 2 alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* alpha (+ 2 (/ (* beta (+ 2 (* 4 (/ 1 beta)))) alpha))) |
(* 2 (/ alpha beta)) |
(* alpha (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 4 (* alpha beta))))) |
(* alpha (+ (* 2 (/ 1 beta)) (* 4 (/ 1 (* alpha beta))))) |
(* alpha (+ 2 (* 4 (/ 1 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) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(- (* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1/2 beta) (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))) alpha)) (* -1/2 (* (+ 4 (* 2 beta)) (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta))))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) 1/2) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (* beta (+ 2 (* 4 (/ 1 beta)))) alpha)) 2))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 (* 4 (/ 1 beta))) alpha)) (* 2 (/ 1 beta))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(- 1/2 (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (/ 1 (+ 4 (* 2 alpha)))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(- (+ 1/2 (* beta (+ (* 2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))) (+ (* beta (- (+ (* -4 (/ alpha (pow (+ 4 (* 2 alpha)) 3))) (* beta (+ (* 8 (/ alpha (pow (+ 4 (* 2 alpha)) 4))) (* 4 (/ 1 (pow (+ 4 (* 2 alpha)) 3)))))) (* 2 (/ 1 (pow (+ 4 (* 2 alpha)) 2))))) (/ 1 (+ 4 (* 2 alpha))))))) (/ alpha (+ 4 (* 2 alpha)))) |
(* -1 (/ alpha (+ 4 (* 2 alpha)))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* -2 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (+ 4 (* 2 alpha)))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(+ (* -1 (/ alpha (+ 4 (* 2 alpha)))) (* beta (- (+ (* beta (- (* 4 (/ (* beta (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2))))) (pow (+ 4 (* 2 alpha)) 2))) (* 2 (/ (- (/ 1 (+ 4 (* 2 alpha))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))) (+ 4 (* 2 alpha)))))) (/ 1 (+ 4 (* 2 alpha)))) (* -2 (/ alpha (pow (+ 4 (* 2 alpha)) 2)))))) |
(- beta alpha) |
(/ (+ 4 (* 2 alpha)) beta) |
(/ (+ 4 (+ (* 2 alpha) (* 2 beta))) beta) |
(* 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 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1 (* -1 (/ (+ (* 1/4 (+ 4 (* 2 alpha))) (* 1/2 alpha)) beta))) |
(- (+ 1 (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2)))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta))))) |
(- (+ 1 (+ (* -1/8 (/ (* alpha (pow (+ 4 (* 2 alpha)) 2)) (pow beta 3))) (* 1/4 (/ (* alpha (+ 4 (* 2 alpha))) (pow beta 2))))) (+ (* -1/8 (/ (pow (+ 4 (* 2 alpha)) 2) (pow beta 2))) (+ (* 1/16 (/ (pow (+ 4 (* 2 alpha)) 3) (pow beta 3))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ alpha beta)))))) |
(- (+ 1/2 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(- (+ 1/2 (+ (* -1/2 (/ alpha beta)) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 3))))) (+ (* 1/4 (/ (+ 4 (* 2 alpha)) beta)) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (pow beta 2))))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* 2 beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
2 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(- 1 (/ 1 beta)) |
(- (+ 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)))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ 1 (/ 1 beta))) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(+ 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))) |
| Outputs |
|---|
(+ 1/2 (/ beta (+ 4 (* 2 beta)))) |
(-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(+ 1/2 (+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(+ 1/2 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (* 4 (/ 1 (pow (+ 4 (* 2 beta)) 3))) (* 8 (/ beta (pow (+ 4 (* 2 beta)) 4)))))) (* 2 (/ 1 (pow (+ 4 (* 2 beta)) 2)))) (* -4 (/ beta (pow (+ 4 (* 2 beta)) 3))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64)))) alpha (*.f64 #s(literal -2 binary64) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (-.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(/ beta (+ 4 (* 2 beta))) |
(/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) |
(+ (* -1 (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (neg.f64 alpha) (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* 2 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (+ 4 (* 2 beta)))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) alpha (/.f64 beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) |
(+ (* alpha (- (* alpha (- (* -4 (/ (* alpha (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta))))) (pow (+ 4 (* 2 beta)) 2))) (* -2 (/ (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))) (+ 4 (* 2 beta)))))) (+ (* 2 (/ beta (pow (+ 4 (* 2 beta)) 2))) (/ 1 (+ 4 (* 2 beta)))))) (/ beta (+ 4 (* 2 beta)))) |
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beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
alpha |
(+ 4 (* 2 beta)) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ 4 (+ (* 2 alpha) (* 2 beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) #s(literal 4 binary64)) |
(* beta (+ 2 (* 4 (/ 1 beta)))) |
(fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) |
(+ (* 2 alpha) (* beta (+ 2 (* 4 (/ 1 beta))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) #s(literal 4 binary64)) |
(+ 2 (* 4 (/ 1 beta))) |
(-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) |
(+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) |
(/ 4 beta) |
(/.f64 #s(literal 4 binary64) beta) |
(+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 alpha)) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/8 alpha) 1/4) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(* 1/8 alpha) |
(*.f64 #s(literal 1/8 binary64) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta)))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha))) alpha) |
(/ (- (+ (* -1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (+ (* -1/32 (/ (pow (+ 4 (* 2 beta)) 4) (pow alpha 3))) (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) (pow alpha 2))) (+ (* 1/4 (+ 4 (* 2 beta))) (* 1/2 beta))))) (+ (* -1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) (pow alpha 2))) (+ (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) (pow alpha 3))) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha))))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 3 binary64)) alpha) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha) #s(literal -1/8 binary64) (-.f64 beta #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (*.f64 beta (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 (*.f64 #s(literal 1/16 binary64) beta) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta) alpha)))) alpha) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ beta alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64)) |
(- (+ (* -1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/2 (/ beta alpha))) (+ 1/2 (* -1/4 (/ (+ 4 (* 2 beta)) alpha)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (*.f64 alpha alpha)) (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64))) |
(- (+ (* 1/4 (/ (* (pow (+ 4 (* 2 beta)) 2) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ beta alpha))) (+ 1/2 (+ (* -1/4 (/ (+ 4 (* 2 beta)) alpha)) (* 1/2 (/ (* (+ 4 (* 2 beta)) (- (* 1/2 beta) (* -1/4 (+ 4 (* 2 beta))))) (pow alpha 2)))))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (/.f64 (-.f64 beta #s(literal -1 binary64)) (*.f64 alpha alpha))))) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* 2 alpha) |
(*.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 2 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha) |
(* alpha (+ 2 (/ (* beta (+ 2 (* 4 (/ 1 beta)))) alpha))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) alpha) |
(* 2 (/ alpha beta)) |
(*.f64 (/.f64 alpha beta) #s(literal 2 binary64)) |
(* alpha (+ (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 4 (* alpha beta))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) beta) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ (* 2 (/ 1 beta)) (* 4 (/ 1 (* alpha beta))))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) beta) alpha) |
(* alpha (+ 2 (* 4 (/ 1 alpha)))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha) #s(literal 1/2 binary64) (-.f64 beta #s(literal -1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha)) (-.f64 beta #s(literal -1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (*.f64 alpha alpha))) (/.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 beta #s(literal -2 binary64)) beta)) alpha)) (-.f64 beta #s(literal -1 binary64))) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) alpha) |
(* 1/8 (pow alpha 2)) |
(*.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) alpha) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 alpha alpha)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) alpha)) (*.f64 alpha alpha)) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) |
(* -1 (/ (- (* -1/2 beta) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) beta (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1/2 beta) (+ (* 1/8 (/ (pow (+ 4 (* 2 beta)) 2) alpha)) (* 1/4 (/ (* beta (+ 4 (* 2 beta))) alpha)))) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) beta (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) beta (*.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) #s(literal 2 binary64)))) alpha)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/16 (/ (pow (+ 4 (* 2 beta)) 3) alpha)) (* 1/8 (/ (* beta (pow (+ 4 (* 2 beta)) 2)) alpha))) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
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(* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (pow (+ 4 (* 2 beta)) 4) alpha)) (* 1/16 (/ (* beta (pow (+ 4 (* 2 beta)) 3)) alpha))) (+ (* 1/16 (pow (+ 4 (* 2 beta)) 3)) (* 1/8 (* beta (pow (+ 4 (* 2 beta)) 2))))) alpha)) (+ (* 1/8 (pow (+ 4 (* 2 beta)) 2)) (* 1/4 (* beta (+ 4 (* 2 beta)))))) alpha)) (* -1/2 beta)) (* 1/4 (+ 4 (* 2 beta)))) alpha)) |
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(*.f64 #s(literal 2 binary64) beta) |
(* beta (+ 2 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
2 |
#s(literal 2 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 alpha #s(literal -2 binary64)) alpha (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* 1/4 beta) |
(*.f64 #s(literal 1/4 binary64) beta) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) alpha)) beta) |
(* beta (+ 1 (/ 1 beta))) |
(-.f64 beta #s(literal -1 binary64)) |
(- (+ 1 (* -1/2 (/ alpha beta))) (* 1/4 (/ (+ 4 (* 2 alpha)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* 1/2 (/ (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)))) beta)) |
(+ 1/2 (* -1 (/ (+ (* -1 (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) (* -1 (/ (+ (* -1/2 (* (+ 4 (* 2 alpha)) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha)))))) (* 1/4 (/ (* (pow (+ 4 (* 2 alpha)) 2) (- (* -1/2 alpha) (* 1/4 (+ 4 (* 2 alpha))))) beta))) beta))) beta))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) alpha (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (neg.f64 beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) alpha) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))))) beta)) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) beta)) 2))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) 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) 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 alpha #s(literal -2 binary64)) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 alpha #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 (neg.f64 alpha) alpha) #s(literal 2 binary64)))) (neg.f64 beta))) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 272 |
| 0 | 65 | 272 |
| 1 | 315 | 272 |
| 0 | 2634 | 261 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) |
(-.f64 beta alpha) |
beta |
alpha |
#s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/8 binary64) alpha) |
#s(literal 1/8 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) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 beta alpha)))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)) (*.f64 #s(literal 2 binary64) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 beta alpha)) #s(literal 2 binary64) (*.f64 (neg.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (-.f64 beta alpha) #s(literal 2 binary64) (*.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)) #s(literal 1 binary64))) (*.f64 #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 beta #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) (/.f64 alpha #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 beta #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) (-.f64 (/.f64 alpha #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta)))) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
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(+.f64 (/.f64 (pow.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64))) |
#s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 2 binary64)) (*.f64 beta #s(literal 1/8 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 beta #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) beta) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) beta)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 beta) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal 1/8 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) beta) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) |
#s(literal 1/4 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 alpha (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64))) alpha)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 alpha) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha)) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) alpha #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 alpha alpha) (fma.f64 alpha #s(literal 1/32 binary64) #s(literal 1/16 binary64))))) |
(-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal -1/4 binary64)) |
(*.f64 #s(literal 1/8 binary64) alpha) |
(*.f64 alpha #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64))) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (-.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 alpha #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (*.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (fma.f64 #s(literal 1 binary64) alpha (*.f64 alpha beta)) (*.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 (neg.f64 (-.f64 beta #s(literal -1 binary64))) (neg.f64 alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(neg.f64 (/.f64 (neg.f64 (-.f64 beta #s(literal -1 binary64))) alpha)) |
(neg.f64 (/.f64 (-.f64 beta #s(literal -1 binary64)) (neg.f64 alpha))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)) |
(+.f64 (/.f64 beta alpha) (pow.f64 alpha #s(literal -1 binary64))) |
(+.f64 (pow.f64 alpha #s(literal -1 binary64)) (/.f64 beta alpha)) |
(/.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 (-.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))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta))) |
(-.f64 beta #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #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(literal 1 binary64) |
Compiled 11 927 to 1 593 computations (86.6% saved)
19 alts after pruning (10 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 311 | 5 | 316 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 314 | 19 | 333 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 75.4% | (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
| ✓ | 74.9% | (+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
| ✓ | 3.7% | (+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
| ✓ | 74.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) | |
| ✓ | 33.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| 36.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) | |
| 10.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| 42.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 43.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| 4.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(approx (+ (* 1/4 beta) 1/2) (*.f64 #s(literal 1/4 binary64) beta)))) | |
| 45.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 46.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 45.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 21.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| ✓ | 22.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
| ✓ | 47.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 40.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 277 to 550 computations (56.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 2 binary64) #s(literal 2 binary64)) beta))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 11.0ms | beta |
| 8.0ms | alpha |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 93.9% | 2 | alpha |
| 75.7% | 1 | beta |
Compiled 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (* (+ 2 (+ alpha beta)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 2 binary64) #s(literal 2 binary64)) beta))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) #s(approx (+ (* (+ alpha beta) 2) 4) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) beta) #s(literal -2 binary64)) beta))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 6.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) |
3 calls:
| 41.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 99.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
3 calls:
| 16.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 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 |
|---|---|---|
| 98.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.7% | 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 (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
3 calls:
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.7% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #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) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
3 calls:
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.6% | 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 (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
3 calls:
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 98.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 alpha) #s(literal 1 binary64)) beta))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))) |
4 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)) |
| 4.0ms | alpha |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | alpha |
| 92.3% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 92.3% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.3% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 92.0% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.0% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
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 |
|---|---|---|
| 91.9% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 91.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 3.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 2 | beta |
| 73.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 73.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 73.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
(+.f64 #s(approx (/ (- beta alpha) (* (+ 2 (+ alpha beta)) 2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(approx (/ (- beta alpha) (+ (* (+ alpha beta) 2) 4)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (fma.f64 #s(approx (- (* 1/8 alpha) 1/4) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 73.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 73.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 73.3% | 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 | beta |
| 1.0ms | alpha |
| 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 |
|---|---|---|
| 40.7% | 1 | alpha |
| 40.7% | 1 | beta |
| 40.7% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 40.7% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 40.7% | 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 | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.214610217432522e-9 | 1.1695302948311337e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.214610217432522e-9 | 1.1695302948311337e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.214610217432522e-9 | 1.1695302948311337e-8 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5000000000000008 | 0.999211862042358 |
| 0.0ms | 2.992140063495796e-7 | 0.4758949189621338 |
Compiled 16 to 15 computations (6.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 3.244310275664956e-15 | 1266.8133978369256 |
| 10.0ms | 25× | 2 | valid |
| 8.0ms | 96× | 0 | valid |
| 5.0ms | 39× | 1 | valid |
Compiled 446 to 365 computations (18.2% saved)
ival-div: 8.0ms (42.6% of total)adjust: 4.0ms (21.3% of total)ival-sub: 4.0ms (21.3% of total)ival-add: 3.0ms (16% 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 | 0.5000000000000008 | 0.999211862042358 |
Compiled 16 to 15 computations (6.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 959 |
| 1 | 137 | 959 |
| 2 | 201 | 959 |
| 3 | 343 | 959 |
| 4 | 959 | 959 |
| 5 | 4381 | 959 |
| 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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (-.f64 beta #s(literal -2 binary64))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) alpha)) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4835703278458517/1208925819614629174706176 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 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 (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 alpha) beta) (/.f64 alpha beta)))))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) (/.f64 #s(literal 1 binary64) alpha))) (if (<=.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (- alpha -2))) 1/2) #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 (* (- 1 (/ alpha (- alpha -2))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 959 to 104 computations (89.2% saved)
Compiled 1 944 to 228 computations (88.3% saved)
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