
Time bar (total: 8.6s)
| 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)
| 473.0ms | 6 066× | 0 | valid |
| 226.0ms | 1 455× | 1 | valid |
| 189.0ms | 735× | 2 | valid |
ival-div: 178.0ms (29.2% of total)ival-add: 174.0ms (28.6% of total)ival-sub: 115.0ms (18.9% of total)adjust: 75.0ms (12.3% of total)ival->: 42.0ms (6.9% of total)exact: 13.0ms (2.1% of total)ival-and: 11.0ms (1.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 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 | 58 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 0 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 0 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 198 |
| 1 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 404× | 0 | valid |
| 10.0ms | 70× | 1 | valid |
| 9.0ms | 38× | 2 | valid |
Compiled 115 to 34 computations (70.4% saved)
ival-add: 9.0ms (35.7% of total)ival-div: 8.0ms (31.7% of total)adjust: 4.0ms (15.8% of total)ival-sub: 3.0ms (11.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 692× | distribute-rgt-in |
| 609× | distribute-lft-in |
| 528× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 71 |
| 1 | 73 | 67 |
| 2 | 167 | 67 |
| 3 | 440 | 65 |
| 4 | 1153 | 65 |
| 5 | 2761 | 65 |
| 6 | 5383 | 65 |
| 7 | 6224 | 65 |
| 8 | 6491 | 65 |
| 9 | 6607 | 65 |
| 10 | 6633 | 65 |
| 11 | 6633 | 65 |
| 12 | 6681 | 65 |
| 13 | 6780 | 65 |
| 14 | 6780 | 65 |
| 15 | 6780 | 65 |
| 16 | 6884 | 65 |
| 17 | 7904 | 65 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 28 | 13 |
| 2 | 45 | 13 |
| 3 | 73 | 13 |
| 4 | 133 | 13 |
| 5 | 292 | 13 |
| 6 | 572 | 13 |
| 7 | 944 | 13 |
| 8 | 1607 | 13 |
| 9 | 2841 | 13 |
| 10 | 3063 | 13 |
| 11 | 3150 | 13 |
| 12 | 3204 | 13 |
| 13 | 3206 | 13 |
| 14 | 3206 | 13 |
| 15 | 3206 | 13 |
| 0 | 3206 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
Compiled 15 to 10 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 512 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 440× | lower-*.f64 |
| 440× | lower-*.f32 |
| 237× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 73 | 48 |
| 4 | 133 | 48 |
| 5 | 292 | 48 |
| 6 | 572 | 48 |
| 7 | 944 | 48 |
| 8 | 1607 | 48 |
| 9 | 2841 | 48 |
| 10 | 3063 | 48 |
| 11 | 3150 | 48 |
| 12 | 3204 | 48 |
| 13 | 3206 | 48 |
| 14 | 3206 | 48 |
| 15 | 3206 | 48 |
| 0 | 3206 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 12.994462074307782 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 15.0ms | 202× | 0 | valid |
| 6.0ms | 19× | 2 | valid |
| 5.0ms | 35× | 1 | valid |
Compiled 50 to 12 computations (76% saved)
ival-div: 6.0ms (35.9% of total)adjust: 4.0ms (23.9% of total)ival-add: 4.0ms (23.9% of total)ival-sub: 2.0ms (12% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))))) (taylor 0 beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))))) (taylor inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))) (taylor -inf beta) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))))) (taylor 0 alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))))))))) (taylor 0 alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (taylor inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) (taylor inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 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) (taylor inf alpha) (#s(alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* beta (- (/ alpha beta) 1))) (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (/ alpha beta) 1))) (taylor -inf beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (+ beta (* -1 alpha)) (taylor 0 alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 alpha) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (- (/ beta alpha) 1)) (taylor inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 alpha) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) (taylor -inf alpha) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 beta) (taylor 0 alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) (taylor inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) (taylor inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) (taylor inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) (taylor inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor -inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) (taylor -inf beta) (#s(alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | alpha | @ | inf | (+ (+ alpha beta) 2) |
| 4.0ms | alpha | @ | inf | (- beta alpha) |
| 1.0ms | alpha | @ | -inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | alpha | @ | inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | beta | @ | 0 | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1× | egg-herbie |
| 4 844× | lower-fma.f64 |
| 4 844× | lower-fma.f32 |
| 1 962× | lower-+.f64 |
| 1 962× | lower-+.f32 |
| 1 863× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* -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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 (/ 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))) |
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)))))) |
2 |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (/ beta (+ 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)))) |
(/ (+ 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 (/ (- (* -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 (/ 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 (* -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))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
-1 |
(- (/ 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 |
(- (* -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) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 beta beta) beta)) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) #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 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64))))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 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 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #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 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 alpha alpha) alpha)) (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal -1/2 binary64)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) alpha)) (neg.f64 alpha)))) alpha)) (neg.f64 alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
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 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #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)))))) |
(fma.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) (-.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 beta beta))) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64)))))) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta)) beta)) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 beta #s(literal 2 binary64) #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 -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) alpha))) (*.f64 beta (fma.f64 (fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 alpha alpha)))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) alpha) beta) (-.f64 beta #s(literal -2 binary64)))) 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 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (-.f64 beta #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta alpha) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha))) (neg.f64 alpha))) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha))))) beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 beta beta) beta)) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta)) beta)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 beta #s(literal -2 binary64)))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha)) (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1 binary64)) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 alpha alpha) alpha)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) alpha) beta) (-.f64 beta #s(literal -2 binary64))) alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
| 2 533× | lower-fma.f64 |
| 2 533× | lower-fma.f32 |
| 2 205× | lower-*.f64 |
| 2 205× | lower-*.f32 |
| 2 132× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal -1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (-.f64 beta alpha)) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 beta beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 beta beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) alpha (+.f64 #s(literal 2 binary64) beta)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (-.f64 alpha #s(literal 2 binary64)))))) |
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)))) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
Compiled 18 307 to 2 300 computations (87.4% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 578 | 11 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 579 | 11 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ▶ | 79.5% | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 51.5% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| 24.4% | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64)) | |
| 51.4% | (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))) | |
| ▶ | 77.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 23.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 55.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| ▶ | 37.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 472 to 248 computations (47.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| cost-diff | 128 | (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) | |
| cost-diff | 512 | (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 4 254× | lower-fma.f32 |
| 4 249× | lower-fma.f64 |
| 2 264× | lower-*.f32 |
| 2 262× | lower-*.f64 |
| 834× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 323 |
| 0 | 65 | 323 |
| 1 | 129 | 323 |
| 2 | 300 | 316 |
| 3 | 1205 | 310 |
| 4 | 6113 | 310 |
| 0 | 8366 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 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))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
#s(literal -1 binary64) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
beta |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
alpha |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(+.f64 beta #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) alpha))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
#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) (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) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #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)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) beta #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) alpha))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) alpha))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal -2 binary64) alpha) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
beta |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #s(literal -2 binary64)) |
(-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) |
alpha |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
(+.f64 beta #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) beta) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) | |
| accuracy | 1.2203050738865096 | (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) | |
| accuracy | 1.2484620502084542 | (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) | |
| accuracy | 48.281794843081634 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| accuracy | 0 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.0234375 | (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| accuracy | 13.145118483331974 | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.01953125 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 14.52176906964976 | #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))) | |
| accuracy | 39.85677414762449 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) | |
| accuracy | 12.986028542976916 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 55.0ms | 34× | 1 | valid |
| 54.0ms | 202× | 0 | valid |
| 14.0ms | 20× | 2 | valid |
Compiled 299 to 40 computations (86.6% saved)
ival-div: 56.0ms (57.6% of total)ival-add: 12.0ms (12.3% of total)ival-sub: 11.0ms (11.3% of total)ival-mult: 11.0ms (11.3% of total)adjust: 6.0ms (6.2% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (patch (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (patch (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 beta #s(literal -2 binary64)) (patch (-.f64 beta #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (patch (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) (patch (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) (patch (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) (taylor inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) (taylor inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) (taylor inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) (taylor inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) (taylor -inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (- (* 2 (/ 1 alpha)) 1)) (taylor 0 beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (* 4 (/ 1 alpha)) 1))) (taylor 0 beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) (taylor 0 beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) (taylor 0 beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow beta 2) alpha) (taylor inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta))) (taylor inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) (taylor inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) (taylor inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow beta 2) alpha) (taylor -inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) (taylor -inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) (taylor -inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) (taylor -inf beta) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (+ 2 beta) 2) alpha) (taylor 0 alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (taylor 0 alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (taylor 0 alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (taylor 0 alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 2 beta)) (taylor inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 2 beta)) (taylor -inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor -inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor -inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) (taylor -inf alpha) (#s(alt (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (patch (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | alpha | @ | inf | (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) |
| 10.0ms | alpha | @ | 0 | (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) |
| 3.0ms | beta | @ | inf | (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) |
| 2.0ms | alpha | @ | -inf | (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) |
| 1.0ms | alpha | @ | -inf | (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) |
| 1× | egg-herbie |
| 3 791× | lower-fma.f64 |
| 3 791× | lower-fma.f32 |
| 3 069× | lower-+.f64 |
| 3 069× | lower-+.f32 |
| 2 831× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1154 | 9836 |
| 1 | 3695 | 9282 |
| 0 | 8540 | 8752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(* -1 beta) |
(- alpha beta) |
(- alpha beta) |
(- alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
alpha |
(+ alpha (* -1 beta)) |
(+ alpha (* -1 beta)) |
(+ alpha (* -1 beta)) |
(* -1 beta) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (/ alpha beta) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(* -1 beta) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 (+ 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 (* -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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* 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)))) |
1 |
(- 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))))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ (+ 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) |
(/ (- beta (* -1 (+ 2 beta))) alpha) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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)))))) |
2 |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(* 1/2 (+ 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 (/ (+ 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 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* 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 (* -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 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(/ 1 (+ 2 beta)) |
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(/ 1 alpha) |
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha) |
(/ 1 alpha) |
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha)) |
(/ 1 (+ 2 alpha)) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(/ 1 beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta) |
(/ 1 beta) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(* 4 (- (* 2 (/ 1 alpha)) 1)) |
(- (* -1 (* beta (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))))) (* -4 (- (* 2 (/ 1 alpha)) 1))) |
(- (* beta (- (* beta (- (* 6 (/ 1 alpha)) (* -2 (- (* 2 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))))) (* -4 (- (* 2 (/ 1 alpha)) 1))) |
(- (* beta (- (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) (* -2 (- (* 2 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))))) (* -4 (- (* 2 (/ 1 alpha)) 1))) |
(* 2 (/ (pow beta 3) alpha)) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))))) |
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))) |
(* (pow beta 3) (- (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 4 (- (* 2 (/ 1 alpha)) 1))) (pow beta 2)))))) |
(* 2 (/ (pow beta 3) alpha)) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 4 (/ 1 alpha)) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 4 (/ 1 alpha)))) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (* 2 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha)))) (* 2 (- (* 2 (/ 1 alpha)) 1)))) beta)) (* 4 (/ 1 alpha))) (* -1 (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha) |
(* (+ 2 beta) (- (* -2 beta) 2)) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(* (+ 2 beta) (- (* -2 beta) 2)) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2)))) |
(* 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 (* -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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3)))))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(+ (* -1 (* beta (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))) |
(+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2)))))))) |
(* 2 (/ (pow beta 3) (pow alpha 2))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))) |
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))) |
(* 2 (/ (pow beta 3) (pow alpha 2))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 4 (* (pow alpha 2) beta)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) (* alpha beta))) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))) (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(* 2 (- (* 2 (/ 1 alpha)) 1)) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (* 4 (/ 1 alpha)) 1))) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta))) |
(* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) |
(* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(/ (pow (+ 2 beta) 2) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(* -1 (+ 2 beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(* -1 (+ 2 beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha)) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) alpha (neg.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) alpha (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal 1/2 binary64))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
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(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
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(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
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-1 |
#s(literal -1 binary64) |
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-1 |
#s(literal -1 binary64) |
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(* -1 (/ alpha (+ 2 alpha))) |
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
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(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64)))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(* -1 beta) |
(neg.f64 beta) |
(- alpha beta) |
(-.f64 alpha beta) |
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(-.f64 alpha beta) |
(- alpha beta) |
(-.f64 alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) alpha) |
alpha |
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(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
alpha |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(* -1 beta) |
(neg.f64 beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
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(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (+ 2 beta)) |
(-.f64 #s(literal -2 binary64) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
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(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
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(* -1 alpha) |
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1 |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 (*.f64 alpha alpha) alpha)) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) |
(* -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) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 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 (neg.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha)))) 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 (neg.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha)) (neg.f64 alpha)))) alpha))) alpha) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 (fma.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)) |
1 |
#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) (*.f64 (*.f64 beta beta) beta))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)) |
(* 1/2 beta) |
(*.f64 beta #s(literal 1/2 binary64)) |
(* beta (+ 1/2 (* -1/4 beta))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(*.f64 (fma.f64 (fma.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 (fma.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) |
1 |
#s(literal 1 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) (*.f64 (*.f64 beta beta) beta))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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)) |
2 |
#s(literal 2 binary64) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) alpha (neg.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64)) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (neg.f64 alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) alpha (neg.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 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 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (fma.f64 beta (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) alpha))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) #s(literal 2 binary64)) (fma.f64 beta (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 alpha alpha) alpha)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 beta (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))) alpha) |
(/ (- beta (* -1 (+ 2 beta))) alpha) |
(/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) |
(/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha))) alpha) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha))) alpha)) |
(/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (-.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)) alpha))) alpha) |
(- 1 (/ alpha (+ 2 alpha))) |
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta #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))) |
(-.f64 (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) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))) beta (-.f64 (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #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 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta 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 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) alpha) (*.f64 (*.f64 beta beta) beta))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (*.f64 beta beta) beta)) (/.f64 #s(literal 2 binary64) beta)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta)) alpha) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (*.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64)))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) alpha (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 (*.f64 alpha alpha) alpha)) (/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha))) alpha))) alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) 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))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))))) beta (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))) beta (-.f64 (/.f64 alpha (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) beta (*.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) beta (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta 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)))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 beta beta) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64))) beta)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal 1/2 binary64) (*.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)))) beta)) beta)) |
(/ 1 (+ 2 beta)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) |
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(fma.f64 (-.f64 (/.f64 alpha (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)))) alpha) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 alpha alpha) alpha))) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha))) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha)) |
(/.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) #s(literal 1 binary64))) alpha) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) #s(literal 1 binary64))) alpha) |
(/ 1 (+ 2 alpha)) |
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(fma.f64 (-.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) beta (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta))) beta) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (*.f64 beta beta) beta))) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta))) beta) |
(/ 1 beta) |
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1 |
#s(literal 1 binary64) |
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1 |
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(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3)))))))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (*.f64 (*.f64 alpha alpha) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (*.f64 (*.f64 alpha alpha) alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (*.f64 (*.f64 alpha alpha) alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
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(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
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alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
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alpha |
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beta |
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(+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2)))))))) |
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(* 2 (/ (pow beta 3) (pow alpha 2))) |
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(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))) |
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(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))) |
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(* 2 (/ (pow beta 3) (pow alpha 2))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 beta beta) beta)) (*.f64 alpha alpha)) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 4 (* (pow alpha 2) beta)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 beta beta) beta)) (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 alpha beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha alpha) beta)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) (* alpha beta))) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (*.f64 alpha beta)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))) (*.f64 (*.f64 beta beta) beta)) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -4 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))) (* -1 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 beta beta) beta)) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)) (*.f64 alpha beta))) (neg.f64 beta)) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))) |
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha) |
(* 2 (- (* 2 (/ 1 alpha)) 1)) |
(fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (* 4 (/ 1 alpha)) 1))) |
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) beta (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64))) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 beta alpha)) #s(literal 1 binary64)) beta (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64))) |
(+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 beta alpha)) #s(literal 1 binary64)) beta (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (+ (/ 1 alpha) (/ 4 (* alpha beta)))) (/ 1 beta))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) beta)) (*.f64 beta beta)) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) beta) #s(literal -2 binary64) (-.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) beta) #s(literal -2 binary64) (-.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) beta)) (*.f64 beta beta)) |
(/ (pow (+ 2 beta) 2) alpha) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* -1 (+ 2 beta)) |
(-.f64 #s(literal -2 binary64) beta) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(* -1 (+ 2 beta)) |
(-.f64 #s(literal -2 binary64) beta) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (+ 2 beta)) (/ (pow (+ 2 beta) 2) alpha)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta)) |
| 2 924× | lower-/.f32 |
| 2 917× | lower-/.f64 |
| 1 788× | lower-*.f32 |
| 1 786× | lower-*.f64 |
| 1 731× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 255 |
| 0 | 65 | 255 |
| 1 | 325 | 253 |
| 2 | 2925 | 253 |
| 0 | 8735 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(-.f64 alpha beta) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 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)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(+.f64 alpha beta) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) |
(*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/4 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))) |
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(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) #s(literal 1 binary64)) (fma.f64 (*.f64 beta beta) beta #s(literal 8 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) (fma.f64 beta beta #s(literal -4 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))) (+.f64 #s(literal -2 binary64) beta))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) (fma.f64 (*.f64 beta beta) beta #s(literal 8 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))) (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) beta) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) beta #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)) #s(literal 1 binary64))) (*.f64 (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) beta #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (-.f64 beta #s(literal -2 binary64))) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64))) (*.f64 (fma.f64 beta beta (fma.f64 #s(literal -2 binary64) beta #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta (*.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) |
(fma.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) |
(fma.f64 beta (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) |
(+.f64 (*.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) beta) (*.f64 (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (*.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -1 binary64))) |
Compiled 40 873 to 4 265 computations (89.6% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 257 | 11 | 1 268 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 261 | 18 | 1 279 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 79.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 79.5% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
| 55.4% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 51.5% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) | |
| 51.4% | (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))) | |
| ✓ | 77.3% | #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))) |
| 24.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| ▶ | 19.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
| ▶ | 50.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) |
| ▶ | 49.8% | #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)))) |
| 51.0% | #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)))) | |
| 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| ▶ | 54.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 519 to 287 computations (44.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) | |
| cost-diff | 192 | (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.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)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
| 4 875× | lower-fma.f32 |
| 4 868× | lower-fma.f64 |
| 2 405× | lower-*.f64 |
| 2 405× | lower-*.f32 |
| 909× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 371 |
| 0 | 75 | 371 |
| 1 | 148 | 371 |
| 2 | 332 | 368 |
| 3 | 1293 | 352 |
| 4 | 6128 | 352 |
| 0 | 8498 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(-.f64 alpha beta) |
alpha |
beta |
(/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
#s(literal 1/2 binary64) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(-.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#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))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 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 (fma.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)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) |
(fma.f64 (fma.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)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
beta |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(-.f64 alpha beta) |
alpha |
beta |
(/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
#s(literal 1/2 binary64) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(-.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#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))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(literal -1/8 binary64) |
beta |
#s(literal 1/4 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 (fma.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)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) |
(fma.f64 (fma.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)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
beta |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
(/.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) | |
| accuracy | 1.2203050738865096 | (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) | |
| accuracy | 12.574329515905731 | #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) | |
| accuracy | 48.281794843081634 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (fma.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)) | |
| accuracy | 14.52176906964976 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) | |
| accuracy | 20.25912979375463 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) | |
| accuracy | 14.52176906964976 | #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)))) | |
| accuracy | 20.950071770947428 | #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))) | |
| accuracy | 14.52176906964976 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 17.73849440628964 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (-.f64 alpha beta) | |
| accuracy | 0 | (-.f64 #s(literal -2 binary64) alpha) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) | |
| accuracy | 13.14495504755563 | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
| 64.0ms | 202× | 0 | valid |
| 20.0ms | 20× | 2 | valid |
| 19.0ms | 34× | 1 | valid |
Compiled 250 to 54 computations (78.4% saved)
ival-div: 21.0ms (27.9% of total)ival-add: 17.0ms (22.6% of total)ival-mult: 17.0ms (22.6% of total)ival-sub: 10.0ms (13.3% of total)adjust: 9.0ms (12% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (patch (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (patch (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) (patch (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) (patch #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.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)) (patch (fma.f64 (fma.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)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) (patch (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) (taylor inf alpha) (#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 beta) (taylor -inf alpha) (#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) (taylor -inf alpha) (#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) (taylor -inf alpha) (#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) (taylor -inf alpha) (#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 alpha) 2) (taylor 0 alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 alpha) 2) (taylor 0 alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 alpha) 2) (taylor 0 alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 alpha) (taylor inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 alpha) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (taylor -inf alpha) (#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt -1/8 (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/16 beta) 1/8) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/16 beta) 1/8) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/16 beta) 1/8) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 beta) (taylor inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (- 1/16 (* 1/8 (/ 1 beta)))) (taylor inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (- 1/16 (* 1/8 (/ 1 beta)))) (taylor inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* beta (- 1/16 (* 1/8 (/ 1 beta)))) (taylor inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 beta) (taylor -inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) (taylor -inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) (taylor -inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) (taylor -inf beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow alpha 2)) (taylor 0 alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1 alpha)) (pow alpha 2)) (taylor 0 alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1 alpha)) (pow alpha 2)) (taylor 0 alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -1 alpha)) (pow alpha 2)) (taylor 0 alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 alpha) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 (/ 1 alpha)) 1) alpha) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 (/ 1 alpha)) 1) alpha) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 (/ 1 alpha)) 1) alpha) (taylor inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 alpha) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) (taylor -inf alpha) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (patch (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #<representation binary64>) () ())) ()) |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (/ 1/2 (- (- -2 alpha) beta)) |
| 0.0ms | alpha | @ | -inf | (/ (- (/ 2 alpha) 1) alpha) |
| 0.0ms | beta | @ | inf | (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) |
| 0.0ms | alpha | @ | 0 | (/ 1/2 (- (- -2 alpha) beta)) |
| 0.0ms | alpha | @ | inf | (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) |
| 1× | egg-herbie |
| 4 443× | lower-fma.f64 |
| 4 443× | lower-fma.f32 |
| 2 915× | lower-*.f64 |
| 2 915× | lower-*.f32 |
| 2 294× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 817 | 7375 |
| 1 | 2507 | 6936 |
| 2 | 7913 | 6914 |
| 0 | 8370 | 6434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(* -1 beta) |
(- alpha beta) |
(- alpha beta) |
(- alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
alpha |
(+ alpha (* -1 beta)) |
(+ alpha (* -1 beta)) |
(+ alpha (* -1 beta)) |
(* -1 beta) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (/ alpha beta) 1)) |
(* beta (- (/ alpha beta) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(/ -1/2 (+ 2 beta)) |
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(/ -1/2 alpha) |
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha) |
(/ -1/2 alpha) |
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha)) |
(/ -1/2 (+ 2 alpha)) |
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(/ -1/2 beta) |
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta) |
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta) |
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta) |
(/ -1/2 beta) |
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta)) |
(* -1 (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(* -1 beta) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 beta)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* -1/8 beta) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/16 (pow beta 3)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 3)) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(/ 4 (pow alpha 2)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) 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 (* -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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3)))))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
-2 |
(- (* -1 alpha) 2) |
(- (* -1 alpha) 2) |
(- (* -1 alpha) 2) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
-1/8 |
(- (* 1/16 beta) 1/8) |
(- (* 1/16 beta) 1/8) |
(- (* 1/16 beta) 1/8) |
(* 1/16 beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(* 1/16 beta) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(/ 2 (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ -1 alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ -1 alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
| Outputs |
|---|
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))) alpha (+.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) alpha (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)))) (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 alpha alpha) alpha))) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (fma.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) beta (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 2 binary64))) beta (fma.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) beta (/.f64 beta (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 2 binary64)))) beta (fma.f64 (/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) beta (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(fma.f64 (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(fma.f64 (fma.f64 alpha #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 (*.f64 beta beta) beta)) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta)) (fma.f64 (fma.f64 alpha #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(fma.f64 (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) (*.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta) (*.f64 (fma.f64 alpha #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (neg.f64 beta))) beta)) |
(* -1 beta) |
(neg.f64 beta) |
(- alpha beta) |
(-.f64 alpha beta) |
(- alpha beta) |
(-.f64 alpha beta) |
(- alpha beta) |
(-.f64 alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
alpha |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
alpha |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(* -1 beta) |
(neg.f64 beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* beta (- (/ alpha beta) 1)) |
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta) |
(* -1 beta) |
(neg.f64 beta) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(/ -1/2 (+ 2 beta)) |
(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
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(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha)) |
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(/ -1/2 (+ 2 alpha)) |
(/.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
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(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
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(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
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(/ -1/2 beta) |
(/.f64 #s(literal -1/2 binary64) beta) |
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(/.f64 (fma.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 beta)) |
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(* -1 (+ 2 beta)) |
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(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
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(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(* -1 alpha) |
(neg.f64 alpha) |
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(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 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)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(* -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)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
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1 |
#s(literal 1 binary64) |
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(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
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(* -1/8 (pow beta 2)) |
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(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
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(* -1/8 (pow beta 2)) |
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(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
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1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/8 beta)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 (fma.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)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
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(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
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(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
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(-.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))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
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(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
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(* 1/16 (pow beta 3)) |
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(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
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(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
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(* 1/16 (pow beta 3)) |
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1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/8 beta)) |
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(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
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(* 1/16 (pow beta 2)) |
(*.f64 (*.f64 #s(literal 1/16 binary64) beta) beta) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
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(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
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(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
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(/ 4 (pow alpha 2)) |
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(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
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(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
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(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
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(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
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(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
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(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
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(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
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(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
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(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))) |
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(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) |
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(/ (pow beta 3) (pow alpha 2)) |
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(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
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(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
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(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))))) |
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(/ (pow beta 3) (pow alpha 2)) |
(*.f64 (*.f64 beta beta) (/.f64 beta (*.f64 alpha alpha))) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
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(+ 1 beta) |
(+.f64 #s(literal 1 binary64) beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
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(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
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(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
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(+ 1 beta) |
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(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha)) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))) alpha)) |
-2 |
#s(literal -2 binary64) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/16 beta) 1/8) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(- (* 1/16 beta) 1/8) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(- (* 1/16 beta) 1/8) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(* 1/16 beta) |
(*.f64 #s(literal 1/16 binary64) beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)) beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)) beta) |
(* beta (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)) beta) |
(* 1/16 beta) |
(*.f64 #s(literal 1/16 binary64) beta) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64)) (neg.f64 beta)) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64)) (neg.f64 beta)) |
(* -1 (* beta (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64)) (neg.f64 beta)) |
(/ 2 (pow alpha 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ -1 alpha) |
(/.f64 #s(literal -1 binary64) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ -1 alpha) |
(/.f64 #s(literal -1 binary64) alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) alpha) |
| 2 377× | lower-/.f32 |
| 2 373× | lower-/.f64 |
| 1 867× | lower-*.f64 |
| 1 867× | lower-*.f32 |
| 1 617× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 346 |
| 0 | 75 | 346 |
| 1 | 418 | 346 |
| 2 | 3680 | 346 |
| 0 | 9064 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(-.f64 alpha beta) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (- 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))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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))) |
(fma.f64 (fma.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)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal -2 binary64) alpha) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 alpha beta) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1/8 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64)) |
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(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(-.f64 #s(literal -2 binary64) (-.f64 alpha (neg.f64 beta))) |
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) |
(+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) |
(+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) alpha)) |
(+.f64 (neg.f64 alpha) (+.f64 (neg.f64 beta) #s(literal -2 binary64))) |
(+.f64 (-.f64 #s(literal -2 binary64) alpha) (neg.f64 beta)) |
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(+.f64 #s(literal -2 binary64) (+.f64 (neg.f64 alpha) (neg.f64 beta))) |
(+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta) #s(literal -1/4 binary64)))) |
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(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
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(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta)) |
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(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) beta)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) alpha)) |
(neg.f64 (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) (neg.f64 alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) alpha))) |
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) (neg.f64 (neg.f64 (+.f64 #s(literal -2 binary64) alpha)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha)))) (neg.f64 (neg.f64 (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal -2 binary64) (neg.f64 alpha)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (neg.f64 (+.f64 #s(literal -2 binary64) alpha))) |
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 #s(literal -2 binary64) (neg.f64 alpha)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha))) (neg.f64 (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) (neg.f64 alpha))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal -2 binary64) alpha)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha))))) |
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 #s(literal -2 binary64) (neg.f64 alpha))))) |
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 alpha alpha) alpha)))) |
(fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal -2 binary64) alpha))) |
(-.f64 (/.f64 #s(literal -8 binary64) (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 alpha alpha) alpha) (fma.f64 alpha (+.f64 #s(literal -2 binary64) alpha) #s(literal 4 binary64)))) |
(-.f64 #s(literal -2 binary64) alpha) |
(+.f64 (neg.f64 alpha) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (neg.f64 alpha)) |
(*.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (*.f64 beta #s(literal -1/128 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (*.f64 beta #s(literal -1/128 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) #s(literal -1/64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 beta beta) (-.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal -1/128 binary64)))) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 beta beta) beta) #s(literal -1/512 binary64)))) |
(fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) |
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (*.f64 beta beta)) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) beta #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) beta) #s(literal -1/8 binary64)) |
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) beta)) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 alpha))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)) |
(pow.f64 (/.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 alpha)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 alpha alpha) alpha)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 alpha)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) alpha))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) (*.f64 alpha #s(literal 1 binary64)))) (neg.f64 (*.f64 alpha alpha))) |
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64)) (neg.f64 alpha)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) alpha) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))) |
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 alpha alpha) alpha))) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))) (neg.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64))) (neg.f64 (*.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) alpha)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) alpha) alpha) (*.f64 alpha #s(literal 1 binary64))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (*.f64 alpha (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 alpha alpha) alpha)) #s(literal 1 binary64)) (*.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) (neg.f64 alpha)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))) alpha)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (neg.f64 alpha))) |
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) |
(fma.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) alpha) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) alpha)) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (neg.f64 (/.f64 #s(literal 1 binary64) alpha))) |
Compiled 18 715 to 1 911 computations (89.8% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 8 | 734 |
| Fresh | 3 | 7 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 731 | 21 | 752 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ▶ | 79.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 67.6% | (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64)) | |
| 35.1% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) | |
| ▶ | 52.9% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
| 55.4% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 51.4% | (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))) | |
| ✓ | 77.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| ▶ | 19.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
| 18.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) | |
| 19.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) | |
| ✓ | 50.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) |
| ✓ | 49.8% | #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)))) |
| ▶ | 51.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ▶ | 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
| ✓ | 54.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 537 to 298 computations (44.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) | |
| cost-diff | 0 | #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (-.f64 alpha beta) | |
| cost-diff | 0 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 896 | (fma.f64 (/.f64 alpha beta) beta beta) |
| 4 411× | lower-fma.f32 |
| 4 406× | lower-fma.f64 |
| 2 224× | lower-*.f32 |
| 2 223× | lower-*.f64 |
| 912× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 465 |
| 0 | 88 | 465 |
| 1 | 179 | 465 |
| 2 | 377 | 457 |
| 3 | 1334 | 435 |
| 4 | 6173 | 435 |
| 0 | 8253 | 420 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta))) |
#s(literal -2 binary64) |
#s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(/.f64 alpha beta) |
#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(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
(-.f64 alpha beta) |
alpha |
beta |
(/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) |
#s(literal 1/2 binary64) |
#s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) |
(-.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(-.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
(*.f64 alpha alpha) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha)))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha)))) |
(-.f64 alpha beta) |
alpha |
beta |
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta))) |
(-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (+.f64 beta alpha))) |
#s(literal -2 binary64) |
#s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) |
#s(approx (+ alpha beta) (+.f64 beta alpha)) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(+.f64 beta alpha) |
(/.f64 alpha beta) |
#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(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 alpha beta) |
alpha |
beta |
(/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) |
#s(literal 1/2 binary64) |
#s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) |
(-.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(-.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
(*.f64 alpha alpha) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2203050738865096 | (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) | |
| accuracy | 8.83728408527003 | (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) | |
| accuracy | 12.574329515905731 | #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) | |
| accuracy | 48.035192011400504 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) | |
| accuracy | 0 | (-.f64 #s(literal -2 binary64) alpha) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) | |
| accuracy | 13.14495504755563 | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| accuracy | 17.25720604290105 | #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| accuracy | 14.52176906964976 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| accuracy | 41.52323805061615 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| accuracy | 0.03125 | (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) | |
| accuracy | 14.52176906964976 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| accuracy | 20.25912979375463 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) | |
| accuracy | 20.828557756565818 | #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) | |
| accuracy | 0 | #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) | |
| accuracy | 5.320228150990286 | (fma.f64 (/.f64 alpha beta) beta beta) | |
| accuracy | 12.986028542976916 | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 75.0ms | 201× | 0 | valid |
| 42.0ms | 20× | 2 | valid |
| 35.0ms | 34× | 1 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 264 to 62 computations (76.5% saved)
ival-add: 41.0ms (31.5% of total)ival-div: 36.0ms (27.7% of total)ival-mult: 28.0ms (21.5% of total)ival-sub: 13.0ms (10% of total)adjust: 10.0ms (7.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) (patch (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #<representation binary64>) () ()) |
#s(alt (-.f64 alpha beta) (patch (-.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) (patch #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) (patch #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) (patch #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) beta) (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) (patch #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) (patch (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) (patch #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) (patch #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -2 binary64) alpha) (patch (-.f64 #s(literal -2 binary64) alpha) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) (patch (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt beta (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ 1 (/ beta alpha))) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt alpha (taylor 0 beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha beta) (taylor 0 beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* beta (+ 1 (/ alpha beta))) (taylor inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt beta (taylor -inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1))) (taylor -inf beta) (#s(alt (fma.f64 (/.f64 alpha beta) beta beta) (patch (fma.f64 (/.f64 alpha beta) beta beta) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) (taylor 0 alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) (taylor -inf alpha) (#s(alt (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | beta | @ | 0 | (- 1 (/ 1 beta)) |
| 0.0ms | alpha | @ | 0 | (/ (- 2 alpha) (* alpha alpha)) |
| 0.0ms | beta | @ | -inf | (- 1 (/ 1 beta)) |
| 0.0ms | alpha | @ | -inf | (/ (- 2 alpha) (* alpha alpha)) |
| 0.0ms | alpha | @ | inf | (/ (- 2 alpha) (* alpha alpha)) |
| 1× | egg-herbie |
| 4 564× | lower-fma.f64 |
| 4 564× | lower-fma.f32 |
| 3 006× | lower-*.f64 |
| 3 006× | lower-*.f32 |
| 2 473× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 895 | 7951 |
| 1 | 2791 | 7475 |
| 0 | 8481 | 6971 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
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(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
(* -1 beta) |
(- alpha beta) |
(- alpha beta) |
(- alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
alpha |
(+ alpha (* -1 beta)) |
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(* -1 beta) |
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(* beta (- (/ alpha beta) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(* -1 (* beta (+ 1 (* -1 (/ alpha 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 |
(+ 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 |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/16 (pow beta 3)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 3)) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(/ -1 beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
(/ -1/2 (+ 2 beta)) |
(- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(/ -1/2 alpha) |
(/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha) |
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 beta) alpha)) (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) alpha) |
(/ -1/2 alpha) |
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* -1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 (+ 2 beta))) alpha))) alpha)) |
(/ -1/2 (+ 2 alpha)) |
(- (* 1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(/ -1/2 beta) |
(/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta) |
(/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta)))) beta) |
(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta) |
(/ -1/2 beta) |
(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* -1/2 (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow (+ 2 alpha) 3) beta)) (* -1/2 (pow (+ 2 alpha) 2))) beta)) (* -1/2 (+ 2 alpha))) beta))) beta)) |
(* -1 (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(- (* -1 alpha) (+ 2 beta)) |
(* -1 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
(* -1 (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(- (* -1 beta) (+ 2 alpha)) |
(* -1 beta) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
(* -1 beta) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha 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 |
(+ 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 (* 1/2 (/ (- (* -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))) |
(* 1/2 (+ 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 (/ (+ 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 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 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha))) |
(+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha))) |
(/ (pow beta 3) (pow alpha 3)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* (pow alpha 2) (pow beta 3)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3)))))))) |
(/ (pow beta 3) (pow alpha 3)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (pow alpha 2))) (/ 1 alpha)) beta)) (* -1/2 (/ (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha)) |
(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))))) |
(/ (pow beta 3) (pow alpha 2)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(/ 4 (pow alpha 2)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
-2 |
(- (* -1 alpha) 2) |
(- (* -1 alpha) 2) |
(- (* -1 alpha) 2) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(/ 2 (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/ -1 alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/ -1 alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
| Outputs |
|---|
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
alpha |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) alpha (neg.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (*.f64 alpha alpha) alpha)))))) alpha) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64)) alpha) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
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(/ beta (+ 2 beta)) |
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#s(literal -1 binary64) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
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(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
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(* -1 beta) |
(neg.f64 beta) |
(- alpha beta) |
(-.f64 alpha beta) |
(- alpha beta) |
(-.f64 alpha beta) |
(- alpha beta) |
(-.f64 alpha beta) |
alpha |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (* -1 (/ beta alpha)))) |
(fma.f64 (neg.f64 alpha) (/.f64 beta alpha) alpha) |
alpha |
(* -1 (* alpha (- (/ beta alpha) 1))) |
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(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (/ beta alpha) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
alpha |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(+ alpha (* -1 beta)) |
(-.f64 alpha beta) |
(* -1 beta) |
(neg.f64 beta) |
(* beta (- (/ alpha beta) 1)) |
(fma.f64 (/.f64 alpha beta) beta (neg.f64 beta)) |
(* beta (- (/ alpha beta) 1)) |
(fma.f64 (/.f64 alpha beta) beta (neg.f64 beta)) |
(* beta (- (/ alpha beta) 1)) |
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(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
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(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* -1 (* beta (+ 1 (* -1 (/ alpha beta))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (neg.f64 beta)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (fma.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 beta (+.f64 #s(literal 2 binary64) 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))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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#s(literal 1 binary64) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(* -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)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 (fma.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)) |
1 |
#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))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 (fma.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)) |
(* 1/16 (pow beta 3)) |
(*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 beta beta)) beta) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)) beta) (*.f64 beta beta)) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
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(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(*.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 beta beta) beta)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta))) (*.f64 (*.f64 beta beta) beta)) |
(* 1/16 (pow beta 3)) |
(*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 beta beta)) beta) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (*.f64 (neg.f64 beta) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal 1/16 binary64))) |
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(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
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1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/8 beta)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(* 1/16 (pow beta 2)) |
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(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
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(* 1/16 (pow beta 2)) |
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(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)) beta) beta) |
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(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta)) (*.f64 beta beta)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
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#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))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 beta) |
(/.f64 #s(literal -1 binary64) beta) |
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(/ (- beta 1) beta) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(/ (- beta 1) beta) |
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#s(literal 1 binary64) |
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(- 1 (/ 1 beta)) |
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#s(literal 1 binary64) |
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(- 1 (/ 1 beta)) |
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(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/.f64 (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64)) alpha) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
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(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
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(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))))))))) |
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1 |
#s(literal 1 binary64) |
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(/ -1/2 (+ 2 beta)) |
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(- (* beta (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
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(/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (+ 1/2 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) beta) |
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(* -1 (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)) |
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(* -1 (+ 2 beta)) |
(-.f64 #s(literal -2 binary64) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(- (* -1 alpha) (+ 2 beta)) |
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
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(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
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(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)) |
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(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
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(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))) |
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(* -1 (+ 2 alpha)) |
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(- (* -1 beta) (+ 2 alpha)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(- (* -1 beta) (+ 2 alpha)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(- (* -1 beta) (+ 2 alpha)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
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(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)) |
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(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
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(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))) |
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(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3))) |
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(+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) #s(literal -1 binary64) #s(literal 1 binary64))) beta (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (/.f64 #s(literal -6 binary64) (*.f64 alpha alpha))) beta (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))) #s(literal 1 binary64)) beta (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* -2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* 6 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) (/.f64 #s(literal -6 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (/.f64 beta (*.f64 alpha alpha))) beta (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) #s(literal -1 binary64) #s(literal 1 binary64)))) beta (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) |
(/ (pow beta 3) (pow alpha 2)) |
(/.f64 (*.f64 (*.f64 beta beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) beta)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) alpha)) beta) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) #s(literal -4 binary64)) alpha)) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) beta)) |
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 4 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha (pow beta 3)))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3)))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -2 binary64)) alpha)) beta) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64) #s(literal -4 binary64)) alpha)) (*.f64 beta beta))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 beta beta) beta) alpha)) #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta))))) (*.f64 (*.f64 beta beta) beta)) |
(/ (pow beta 3) (pow alpha 2)) |
(/.f64 (*.f64 (*.f64 beta beta) beta) (*.f64 alpha alpha)) |
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (*.f64 (neg.f64 beta) (*.f64 beta beta)) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) beta) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (*.f64 (neg.f64 beta) (*.f64 beta beta)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha)) #s(literal 1 binary64)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) beta)) (* -1/2 (+ (* 2 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 2 (/ 1 alpha)) 1) alpha))))) 1) beta)) (* -1/2 (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2))))) |
(*.f64 (*.f64 (neg.f64 beta) (*.f64 beta beta)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) alpha)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) beta)) #s(literal 1 binary64)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) |
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha))) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha)) |
(+ 1 beta) |
(+.f64 #s(literal 1 binary64) beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+.f64 beta (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) #s(literal 1 binary64)) |
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) beta)) #s(literal 1 binary64)) |
(+ 1 beta) |
(+.f64 #s(literal 1 binary64) beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+.f64 beta (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) alpha)) |
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha)))) |
(-.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)))) alpha)) |
(/ 4 (pow alpha 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) |
(/ (+ 4 (* -2 alpha)) (pow alpha 2)) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(/.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) |
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2)) |
(/.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha #s(literal 4 binary64)) (*.f64 alpha alpha)) |
1 |
#s(literal 1 binary64) |
(- 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 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
alpha |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) beta) #s(literal 1 binary64))) |
-2 |
#s(literal -2 binary64) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(- (* -1 alpha) 2) |
(-.f64 #s(literal -2 binary64) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) alpha) alpha alpha)) |
(/ 2 (pow alpha 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ (+ 2 (* -1 alpha)) (pow alpha 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
(/ -1 alpha) |
(/.f64 #s(literal -1 binary64) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (* 2 (/ 1 alpha)) 1) alpha) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) |
(/ -1 alpha) |
(/.f64 #s(literal -1 binary64) alpha) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha)) |
(* -1 (/ (- 1 (* 2 (/ 1 alpha))) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 alpha)) |
| 2 104× | lower-*.f32 |
| 2 103× | lower-*.f64 |
| 1 780× | lower-fma.f32 |
| 1 775× | lower-fma.f64 |
| 1 716× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 410 |
| 0 | 88 | 410 |
| 1 | 497 | 410 |
| 2 | 4279 | 406 |
| 0 | 8239 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) |
(-.f64 alpha beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(/.f64 #s(literal 1 binary64) beta) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) |
#s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha) |
#s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)) |
(-.f64 #s(literal -2 binary64) alpha) |
(/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha)) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(*.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 beta (-.f64 beta (*.f64 alpha #s(literal 1 binary64))))))) |
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(pow.f64 (/.f64 (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta)) (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 beta (-.f64 beta (*.f64 alpha #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) #s(literal 1 binary64))) (-.f64 beta (*.f64 alpha #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta))) (neg.f64 (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta))) (neg.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 beta (-.f64 beta (*.f64 alpha #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta)) (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta))) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta)) (fma.f64 beta beta (-.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1 binary64)) (*.f64 (*.f64 alpha #s(literal 1 binary64)) beta)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta)) (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 beta (-.f64 beta (*.f64 alpha #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta)) (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 1 binary64) (*.f64 beta (-.f64 beta (*.f64 alpha #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 alpha alpha) alpha) #s(literal 1 binary64) (*.f64 (*.f64 beta beta) beta)))) |
(fma.f64 (*.f64 beta alpha) (/.f64 #s(literal 1 binary64) beta) beta) |
(fma.f64 #s(literal 1 binary64) beta (*.f64 alpha #s(literal 1 binary64))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 beta #s(literal 1 binary64) (*.f64 alpha #s(literal 1 binary64))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(fma.f64 alpha (/.f64 beta beta) beta) |
(fma.f64 alpha #s(literal 1 binary64) beta) |
(-.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta))) (/.f64 (*.f64 beta beta) (fma.f64 alpha #s(literal 1 binary64) (neg.f64 beta)))) |
(+.f64 (*.f64 alpha #s(literal 1 binary64)) beta) |
(+.f64 beta (*.f64 alpha #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta)) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (+.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (fma.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) (+.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) (*.f64 (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 alpha beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta alpha) (*.f64 alpha alpha)))) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (+.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) (fma.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) (+.f64 #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)) #s(literal -2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))) (-.f64 alpha beta)) |
(*.f64 (neg.f64 (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 alpha #s(literal 1 binary64) beta))))) |
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(fma.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha) (neg.f64 (/.f64 alpha (*.f64 alpha alpha)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (neg.f64 (/.f64 alpha (*.f64 alpha alpha)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 alpha (*.f64 alpha alpha))) |
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (/.f64 alpha (-.f64 #s(literal 2 binary64) alpha)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (neg.f64 (/.f64 alpha (*.f64 alpha alpha)))) |
Compiled 17 540 to 1 682 computations (90.4% saved)
21 alts after pruning (10 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 736 | 0 | 736 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 736 | 21 | 757 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | 79.4% | (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 67.6% | (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64)) | |
| 35.1% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) | |
| ✓ | 52.9% | (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
| 55.4% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 51.4% | (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))) | |
| ✓ | 77.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 23.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) | |
| 24.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 24.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| ✓ | 19.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
| 18.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) | |
| 19.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) | |
| ✓ | 50.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) |
| ✓ | 49.8% | #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)))) |
| ✓ | 51.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
| ✓ | 29.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
| ✓ | 54.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 37.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 750 to 292 computations (61.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))))) alpha)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
5 calls:
| 11.0ms | alpha |
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 9.0ms | beta |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 2 | alpha |
| 79.7% | 1 | beta |
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 alpha beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) (-.f64 #s(literal -2 binary64) (-.f64 alpha beta)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 #s(approx (/ (- (/ 2 alpha) 1) alpha) (/.f64 (-.f64 #s(literal 2 binary64) alpha) (*.f64 alpha alpha))) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) #s(literal 1 binary64))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (/.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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) #s(approx (- (- -2 alpha) beta) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))) alpha)) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (- -2 alpha) (neg.f64 alpha)) beta)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) 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:
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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 (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)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 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)) |
| 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 |
|---|---|---|
| 97.8% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.8% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.7% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
4 calls:
| 3.0ms | alpha |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 2 | alpha |
| 92.6% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 92.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 92.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.5% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #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:
| 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 |
|---|---|---|
| 92.4% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 92.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* (+ (* 1/16 beta) -1/8) beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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:
| 31.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | beta |
| 76.7% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 76.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 76.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 76.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 76.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 76.3% | 2 | beta |
Compiled 42 to 28 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | alpha |
| 1.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | alpha |
| 37.7% | 1 | beta |
| 37.7% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 37.7% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 37.7% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999988937157966 | -0.910257533433128 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999988937157966 | -0.910257533433128 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999989746648 | -0.9999994331624582 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 0.0ms | -0.910257533433128 | -0.11058202483467772 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 0.0012879485056161077 | 651.8591966650307 |
| 28.0ms | 18× | 1 | valid |
| 5.0ms | 100× | 0 | valid |
| 5.0ms | 26× | 2 | valid |
Compiled 144 to 105 computations (27.1% saved)
ival-div: 3.0ms (35% of total)ival-add: 3.0ms (35% of total)adjust: 2.0ms (23.3% of total)ival-sub: 1.0ms (11.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0006435598168558568 | 0.9969412374862954 |
| 4.0ms | 128× | 0 | valid |
Compiled 106 to 80 computations (24.5% saved)
ival-div: 1.0ms (62.7% of total)ival-add: 1.0ms (62.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | unsub-neg_binary64 |
| 20× | +-commutative_binary64 |
| 17× | neg-mul-1_binary64 |
| 16× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 940 |
| 1 | 151 | 940 |
| 2 | 174 | 940 |
| 3 | 189 | 940 |
| 4 | 216 | 940 |
| 5 | 267 | 940 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) #s(approx (+ alpha beta) (fma.f64 (/.f64 alpha beta) beta beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007194751141365/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.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)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 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 (+ (* (/ beta (- beta -2)) 1/2) 1/2) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (* (- beta -2) (- (/ (- beta -2) alpha) 1)))) alpha) 1/2) (+ beta 1)) #s(approx (+ (* (/ (- (/ 2 alpha) 1) alpha) 2) 1) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1152921504606847/1152921504606846976 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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 4 844× | lower-fma.f64 |
| 4 844× | lower-fma.f32 |
| 4 443× | lower-fma.f64 |
| 4 443× | lower-fma.f32 |
| 3 791× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 0 | 38 | 255 |
| 0 | 65 | 255 |
| 1 | 325 | 253 |
| 2 | 2925 | 253 |
| 0 | 8735 | 250 |
| 0 | 817 | 7375 |
| 1 | 2507 | 6936 |
| 2 | 7913 | 6914 |
| 0 | 8370 | 6434 |
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 0 | 1154 | 9836 |
| 1 | 3695 | 9282 |
| 0 | 8540 | 8752 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 772 to 318 computations (58.8% saved)
Compiled 850 to 172 computations (79.8% saved)
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