
Time bar (total: 8.1s)
| 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)
| 607.0ms | 6 114× | 0 | valid |
| 275.0ms | 1 425× | 1 | valid |
| 157.0ms | 717× | 2 | valid |
ival-add: 314.0ms (43% of total)ival-div: 162.0ms (22.2% of total)ival-sub: 105.0ms (14.4% of total)adjust: 84.0ms (11.5% of total)ival->: 39.0ms (5.3% of total)exact: 13.0ms (1.8% of total)ival-and: 11.0ms (1.5% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 67 | 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 | 67 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 67 | 0 |
| - | 0 | 189 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 67 | 0 | 0 |
| - | 0 | 0 | 189 |
| number | freq |
|---|---|
| 0 | 189 |
| 1 | 67 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 382× | 0 | valid |
| 14.0ms | 82× | 1 | valid |
| 13.0ms | 48× | 2 | valid |
Compiled 161 to 44 computations (72.7% saved)
adjust: 10.0ms (30.6% of total)ival-add: 10.0ms (30.6% of total)ival-div: 9.0ms (27.5% of total)ival-sub: 4.0ms (12.2% 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 |
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 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.8% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 beta alpha) | |
| cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 512 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 73 | 48 |
| 4 | 133 | 48 |
| 5 | 292 | 48 |
| 6 | 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 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 15.482788953911891 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 22.0ms | 191× | 0 | valid |
| 10.0ms | 41× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
Compiled 98 to 22 computations (77.6% saved)
ival-add: 15.0ms (53.5% of total)ival-div: 9.0ms (32.1% of total)adjust: 2.0ms (7.1% of total)ival-sub: 2.0ms (7.1% 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 (+.f64 alpha beta) #s(literal 2 binary64)) (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<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 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#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 (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#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 (- (+ 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))) (taylor 0 beta) (#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 (- (+ 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))) (taylor 0 beta) (#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 (* -1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#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 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (taylor 0 beta) (#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 (+ (* -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)))))) (taylor 0 beta) (#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 (+ (* -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)))))) (taylor 0 beta) (#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 (* -1 alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt (- beta alpha) (taylor 0 beta) (#s(alt (-.f64 beta alpha) (patch (-.f64 beta alpha) #<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 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 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 2 (taylor inf beta) (#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 (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) (taylor inf beta) (#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 (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) (taylor inf beta) (#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 (- (+ 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)))))) (taylor inf beta) (#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>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) (taylor inf alpha) (#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 (- (+ (/ 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))))) (taylor inf alpha) (#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 (* -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 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 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 (* -1/2 (/ (- (* -1 beta) (+ 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 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 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 (/ (+ (* -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)) (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 (/ (+ (* -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)) (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 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (taylor -inf alpha) (#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 (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) (taylor -inf alpha) (#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 (* -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)) (taylor -inf alpha) (#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 (* -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)) (taylor -inf alpha) (#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 -1 (taylor -inf alpha) (#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 (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#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 (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) (taylor -inf alpha) (#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 (- (* -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) (taylor -inf alpha) (#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 (* -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 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 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ (+ alpha beta) 2) (+ alpha beta)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4567 | 2155 |
| 0 | 8646 | 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 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ 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 |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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 |
(- (+ 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 |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 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 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)))) |
1 |
#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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64)) |
beta |
(* 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 |
(* 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 |
(* 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) |
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 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta)) |
2 |
#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 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64)) |
1 |
#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 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
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 |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) 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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/ beta (+ 2 beta)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) 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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ 2 beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #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 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #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 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ 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 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (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 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(* alpha (- (/ 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 |
(* 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 |
(* 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) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 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) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) 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) |
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 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
| Outputs |
|---|
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Compiled 16 188 to 2 370 computations (85.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 580 | 9 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 581 | 9 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.5% | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 50.7% | (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 30.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ▶ | 74.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 25.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))) | |
| 26.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 50.3% | #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))) | |
| ▶ | 38.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 324 to 218 computations (32.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) | |
| cost-diff | 1408 | (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 6848 | (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.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 | (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 5952 | (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 329 |
| 0 | 70 | 329 |
| 1 | 135 | 305 |
| 2 | 305 | 289 |
| 3 | 1195 | 273 |
| 0 | 8653 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) |
(pow.f64 (+.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 |
#s(literal -1 binary64) |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 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) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) |
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 beta alpha) |
(*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) |
(-.f64 alpha beta) |
(-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
#s(literal -1 binary64) |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 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 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -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)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) |
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) |
(*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(-.f64 beta alpha) |
(*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) |
(*.f64 (-.f64 alpha beta) (+.f64 beta alpha)) |
(-.f64 alpha beta) |
(-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 alpha beta)) |
(pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.6970932168344212 | (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) | |
| accuracy | 24.34084872265222 | (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) | |
| accuracy | 26.211115205512574 | (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| accuracy | 44.65713882883348 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 16.24525299229447 | #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 | 39.66961168311187 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) | |
| accuracy | 0.0234375 | (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) | |
| accuracy | 15.665537999374285 | (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) |
| 60.0ms | 24× | 2 | valid |
| 51.0ms | 191× | 0 | valid |
| 42.0ms | 41× | 1 | valid |
Compiled 609 to 78 computations (87.2% saved)
ival-pow: 32.0ms (28.1% of total)ival-add: 28.0ms (24.6% of total)ival-div: 22.0ms (19.3% of total)ival-mult: 13.0ms (11.4% of total)adjust: 8.0ms (7% of total)ival-sub: 7.0ms (6.1% of total)ival-pow2: 3.0ms (2.6% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<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 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (patch (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #<representation binary64>) () ()) |
#s(alt (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (patch (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha beta) (patch (+.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #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 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #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 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #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 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 2 alpha)) (taylor 0 beta) (#s(alt (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) (taylor 0 beta) (#s(alt (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (taylor 0 beta) (#s(alt (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (taylor 0 beta) (#s(alt (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (patch (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (patch (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (patch (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (patch (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (patch (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#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 (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#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 (+ (* 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 #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 (+ (* 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 #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 (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#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 (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#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 (+ (* 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 #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 (+ (* 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 #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 1/2 (taylor 0 beta) (#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 (+ 1/2 (* 1/4 beta)) (taylor 0 beta) (#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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | alpha | @ | -inf | ((+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (pow (+ 2 (+ alpha beta)) -1) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1)) (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (+ alpha beta) (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4))) |
| 7.0ms | beta | @ | 0 | ((+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (pow (+ 2 (+ alpha beta)) -1) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1)) (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (+ alpha beta) (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4))) |
| 7.0ms | beta | @ | inf | ((+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (pow (+ 2 (+ alpha beta)) -1) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1)) (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (+ alpha beta) (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4))) |
| 7.0ms | alpha | @ | 0 | ((+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (pow (+ 2 (+ alpha beta)) -1) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1)) (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (+ alpha beta) (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4))) |
| 6.0ms | beta | @ | -inf | ((+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (pow (+ 2 (+ alpha beta)) -1) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ beta (- beta -2)) (- beta -2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1)) (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (+ alpha beta) (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1153 | 10818 |
| 1 | 3770 | 10150 |
| 0 | 8868 | 9389 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(/ 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))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ 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))))))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) 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))))))))) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(* alpha (- alpha 2)) |
(+ (* alpha (- alpha 2)) (* beta (+ alpha (* -1 (- alpha 2))))) |
(+ (* alpha (- alpha 2)) (* beta (+ alpha (+ (* -1 beta) (* -1 (- alpha 2)))))) |
(+ (* alpha (- alpha 2)) (* beta (+ alpha (+ (* -1 beta) (* -1 (- alpha 2)))))) |
(+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4)))) |
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))))) |
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (+ (* beta (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (/ alpha (- (pow alpha 2) 4)))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))))) |
(+ 1 (+ (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))) (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (+ (* beta (- (+ (* beta (- (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 3))) (* 2 (/ 1 (pow (- (pow alpha 2) 4) 2)))) (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (+ (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))) (/ alpha (pow (- (pow alpha 2) 4) 2)))))) (/ 1 (- (pow alpha 2) 4))) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (/ alpha (- (pow alpha 2) 4)))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))))) |
-1 |
-1 |
-1 |
-1 |
(* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) |
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4)))))) |
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))))))) (* 1/2 (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4))))))))) |
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 3))) (* 2 (/ 1 (pow (- (pow alpha 2) 4) 2)))) (+ (* -1 (/ alpha (pow (- (pow alpha 2) 4) 2))) (+ (* 2 (/ (* alpha (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))) (/ alpha (pow (- (pow alpha 2) 4) 2))))))) (* 1/2 (- (/ 1 (- (pow alpha 2) 4)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ (* alpha (- (+ (* -1 (/ alpha (- (pow alpha 2) 4))) (/ alpha (- (pow alpha 2) 4))) (+ (* -2 (/ (* (pow alpha 2) (- alpha 2)) (pow (- (pow alpha 2) 4) 2))) (* 2 (/ 1 (- (pow alpha 2) 4)))))) (- (pow alpha 2) 4))))))))))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(/ -1 (- (pow alpha 2) 4)) |
(- (* beta (- (/ 1 (* alpha (- (pow alpha 2) 4))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (/ 1 (- (pow alpha 2) 4))) |
(- (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (+ alpha (* -2 alpha)) (* alpha (pow (- (pow alpha 2) 4) 2)))) (/ (* (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (- (/ 1 (* alpha (- (pow alpha 2) 4))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (* alpha (- (pow alpha 2) 4)))))) (/ 1 (* alpha (- (pow alpha 2) 4)))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (/ 1 (- (pow alpha 2) 4))) |
(- (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (+ (* -1 (/ (+ alpha (* -2 alpha)) (* alpha (pow (- (pow alpha 2) 4) 2)))) (/ (* (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (- (/ 1 (* alpha (- (pow alpha 2) 4))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (* alpha (- (pow alpha 2) 4))))) (* alpha (- (pow alpha 2) 4)))) (+ (/ 1 (* alpha (pow (- (pow alpha 2) 4) 2))) (/ (* (+ alpha (* -2 alpha)) (- (/ 1 (* alpha (- (pow alpha 2) 4))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (* alpha (- (pow alpha 2) 4))))))) (+ (* -1 (/ (+ alpha (* -2 alpha)) (* alpha (pow (- (pow alpha 2) 4) 2)))) (/ (* (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (- (/ 1 (* alpha (- (pow alpha 2) 4))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (* alpha (- (pow alpha 2) 4)))))) (/ 1 (* alpha (- (pow alpha 2) 4)))) (* -1 (/ (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))) (* alpha (pow (- (pow alpha 2) 4) 2)))))) (/ 1 (- (pow alpha 2) 4))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
1 |
(+ 1 (* -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 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) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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 (/ (+ 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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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))))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(* -1 (pow beta 2)) |
(* (pow beta 2) (- (+ (* -1 (/ (- alpha 2) beta)) (/ alpha beta)) 1)) |
(* (pow beta 2) (- (+ (* -1 (/ (- alpha 2) beta)) (+ (/ alpha beta) (/ (* alpha (- alpha 2)) (pow beta 2)))) 1)) |
(* (pow beta 2) (- (+ (* -1 (/ (- alpha 2) beta)) (+ (/ alpha beta) (/ (* alpha (- alpha 2)) (pow beta 2)))) 1)) |
2 |
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow beta 2))) (+ (/ 4 (pow beta 2)) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow beta 2))) (+ (* -1 (/ (+ (* 2 (* alpha (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) (pow beta 3))) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) |
-1 |
-1 |
-1 |
-1 |
1 |
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta))) |
(+ 1 (+ (* 1/2 (/ (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta)))) |
(+ 1 (+ (* -1/2 (/ (+ (* 2 (* alpha (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) (pow beta 3))) (+ (* 1/2 (/ (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta))))) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(/ -1 (pow beta 2)) |
(/ (- (* 2 (/ alpha beta)) 1) (pow beta 2)) |
(/ (- (* -1 (/ (+ (* -2 (* alpha (+ alpha (* -2 alpha)))) (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2)))) (pow beta 2))) (+ 1 (* -2 (/ alpha beta)))) (pow beta 2)) |
(/ (- (* -1 (/ (+ (* -2 (* alpha (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))))) (+ (* alpha (- (pow alpha 2) 4)) (* (+ alpha (* -2 alpha)) (+ (* -2 (* alpha (+ alpha (* -2 alpha)))) (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))))))) (pow beta 3))) (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ (* alpha (+ alpha (* -2 alpha))) (pow beta 2))) (+ (* -1 (/ (- (pow alpha 2) 4) (pow beta 2))) (* 2 (/ (pow alpha 2) (pow beta 2)))))))) (pow beta 2)) |
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 |
(+ 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 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)) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(* -1 (pow beta 2)) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (* -1 alpha)) 2) beta)) 1)) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (+ (* -1 alpha) (* -1 (/ (* alpha (- alpha 2)) beta)))) 2) beta)) 1)) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (+ (* -1 alpha) (* -1 (/ (* alpha (- alpha 2)) beta)))) 2) beta)) 1)) |
2 |
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (/ (* alpha (- alpha 2)) beta)) (+ (* -2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) beta)) (* -1 (/ (- (pow alpha 2) 4) beta)))) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4))))) (* -1 (/ (+ (* -2 (* alpha (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) beta))) beta))) beta))) |
-1 |
-1 |
-1 |
-1 |
1 |
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (* 1/2 (/ (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4))))) (* -1/2 (/ (+ (* -2 (* alpha (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(/ -1 (pow beta 2)) |
(/ (- (* 2 (/ alpha beta)) 1) (pow beta 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) 4) beta)) (* 4 (/ (pow alpha 2) beta))) (* 2 alpha)) beta)) 1) (pow beta 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* alpha (- (pow alpha 2) 4)) beta)) (* 2 (/ (* alpha (+ (* -1 (- (pow alpha 2) 4)) (* 4 (pow alpha 2)))) beta))) (+ (* -1 (- (pow alpha 2) 4)) (* 4 (pow alpha 2)))) beta)) (* 2 alpha)) beta)) 1) (pow beta 2)) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ 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))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 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 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
-2 |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(* -1 (* beta (- beta 2))) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ beta (* -1 beta)) 2))) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ alpha (+ beta (* -1 beta))) 2))) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ alpha (+ beta (* -1 beta))) 2))) |
(+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4)))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
(+ 1 (+ (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (+ (* alpha (- (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))) (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (/ beta (- (pow beta 2) 4)))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
-1 |
-1 |
-1 |
-1 |
(* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
(+ (* 1/2 (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))))) |
(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* -1/2 (* alpha (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) |
(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* 1/2 (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(/ -1 (- (pow beta 2) 4)) |
(- (* alpha (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(- (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))))) (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4))))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(- (* alpha (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -1 beta) (* 2 beta)) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (+ (/ 1 (* beta (pow (- (pow beta 2) 4) 2))) (/ (* (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))) (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4)) (* beta (- (pow beta 2) 4))))))) (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))))) (/ 1 (* beta (- (pow beta 2) 4))))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 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) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(pow alpha 2) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (/ beta alpha))) (* 2 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* beta (- beta 2)) (pow alpha 2))) (/ beta alpha)))) (* 2 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* beta (- beta 2)) (pow alpha 2))) (/ beta alpha)))) (* 2 (/ 1 alpha)))) |
(/ (- (+ beta (* -1 (- beta 2))) (* -2 beta)) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (/ (* beta (- beta 2)) alpha))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha))))) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (+ (* -1 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (/ (* beta (- beta 2)) alpha)))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha))))) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (+ (* -1 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (/ (* beta (- beta 2)) alpha)))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (+ (* 2 (/ (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))))))) (pow alpha 2))) (+ (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha)) (/ (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4)) (pow alpha 2))))))) alpha) |
-1 |
-1 |
-1 |
-1 |
(* 1/2 (/ (- (+ beta (* -1 (- beta 2))) (* -2 beta)) alpha)) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))) alpha) |
(/ (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha)))) alpha) |
(/ (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))))) alpha) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(/ -1 (pow alpha 2)) |
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ (* -1 beta) (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4)) (* (+ (* -1 beta) (* 2 beta)) (- beta (* -1 (+ (* -1 beta) (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ (* -1 beta) (* 2 beta)) alpha)))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ (* -1 beta) (* 2 beta)) (+ (* -1 (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4)) (* (+ (* -1 beta) (* 2 beta)) (- beta (* -1 (+ (* -1 beta) (* 2 beta)))))))) (+ (* beta (- (pow beta 2) 4)) (* (- beta (* -1 (+ (* -1 beta) (* 2 beta)))) (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4)))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ (* -1 beta) (* 2 beta)) alpha)) (+ (* -1 (/ (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (pow alpha 2))) (/ (* (+ (* -1 beta) (* 2 beta)) (- beta (* -1 (+ (* -1 beta) (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ 1 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)) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1/2 (/ (- (* -1 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 beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(pow alpha 2) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (/ beta alpha))) (* 2 (/ 1 alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ beta (* -1 beta)) 2)) (/ (* beta (- beta 2)) alpha)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ beta (* -1 beta)) 2)) (/ (* beta (- beta 2)) alpha)) alpha)))) |
(* -1 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (/ (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) alpha)) (+ (* beta (- beta 2)) (/ (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)) alpha))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (/ (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4)) alpha)) (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (* beta (- beta 2))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
-1 |
-1 |
-1 |
-1 |
(* -1/2 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) (* 1/2 (/ (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) (* 1/2 (/ (+ (* 2 (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(/ -1 (pow alpha 2)) |
(/ (- (* 2 (/ beta alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 4 (/ (pow beta 2) alpha))) (* 2 beta)) alpha)) 1) (pow alpha 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* beta (- (pow beta 2) 4)) alpha)) (* 2 (/ (* beta (+ (* -1 (- (pow beta 2) 4)) (* 4 (pow beta 2)))) alpha))) (+ (* -1 (- (pow beta 2) 4)) (* 4 (pow beta 2)))) alpha)) (* 2 beta)) alpha)) 1) (pow alpha 2)) |
| Outputs |
|---|
(- 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))) |
(-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta #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 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta #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))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta #s(literal 1 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(/ 1 (+ 2 alpha)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(fma.f64 (-.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
(+ (* 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) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) beta (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 #s(literal 1/2 binary64) (-.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))))))))) |
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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)) |
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(*.f64 #s(literal 1/2 binary64) beta) |
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2 |
#s(literal 2 binary64) |
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(* alpha (- alpha 2)) |
(*.f64 (-.f64 alpha #s(literal 2 binary64)) alpha) |
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(fma.f64 (-.f64 alpha (-.f64 alpha #s(literal 2 binary64))) beta (*.f64 (-.f64 alpha #s(literal 2 binary64)) alpha)) |
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(fma.f64 (-.f64 (-.f64 alpha beta) (-.f64 alpha #s(literal 2 binary64))) beta (*.f64 (-.f64 alpha #s(literal 2 binary64)) alpha)) |
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-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(* 1/2 (+ 1 (* -1 (/ (* alpha (- alpha 2)) (- (pow alpha 2) 4))))) |
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alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ -1 (- (pow alpha 2) 4)) |
(/.f64 #s(literal -1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64))) |
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#s(literal 2 binary64) |
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beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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1 |
#s(literal 1 binary64) |
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#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) |
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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 |
#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(* -1 (pow beta 2)) |
(*.f64 (neg.f64 beta) beta) |
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(* (pow beta 2) (- (+ (* -1 (/ (- alpha 2) beta)) (+ (/ alpha beta) (/ (* alpha (- alpha 2)) (pow beta 2)))) 1)) |
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2 |
#s(literal 2 binary64) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
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(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow beta 2))) (+ (/ 4 (pow beta 2)) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) |
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(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (- alpha 2)) (pow beta 2))) (+ (* -1 (/ (+ (* 2 (* alpha (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) (pow beta 3))) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ (pow alpha 2) (pow beta 2)))))) |
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-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
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#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 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 (/ (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta)))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* 2 (* alpha (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) (pow beta 3))) (+ (* 1/2 (/ (- (+ 4 (* -1 (* alpha (- alpha 2)))) (+ (* 2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta))))) |
(+.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) alpha) (-.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (*.f64 alpha alpha))))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 alpha) (-.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64) (*.f64 alpha alpha))) (*.f64 beta beta)) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)))) #s(literal 1 binary64)) |
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) |
(/ -1 (pow beta 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 beta beta)) |
(/ (- (* 2 (/ alpha beta)) 1) (pow beta 2)) |
(/.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 beta beta)) |
(/ (- (* -1 (/ (+ (* -2 (* alpha (+ alpha (* -2 alpha)))) (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2)))) (pow beta 2))) (+ 1 (* -2 (/ alpha beta)))) (pow beta 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 alpha) alpha) #s(literal -2 binary64) (fma.f64 (*.f64 alpha alpha) #s(literal 2 binary64) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))))) (*.f64 (neg.f64 beta) beta)) (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 beta beta)) |
(/ (- (* -1 (/ (+ (* -2 (* alpha (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))))) (+ (* alpha (- (pow alpha 2) 4)) (* (+ alpha (* -2 alpha)) (+ (* -2 (* alpha (+ alpha (* -2 alpha)))) (+ (* -1 (- (pow alpha 2) 4)) (* 2 (pow alpha 2))))))) (pow beta 3))) (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ (* alpha (+ alpha (* -2 alpha))) (pow beta 2))) (+ (* -1 (/ (- (pow alpha 2) 4) (pow beta 2))) (* 2 (/ (pow alpha 2) (pow beta 2)))))))) (pow beta 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 alpha alpha) #s(literal 2 binary64) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))) alpha) #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 (neg.f64 alpha) alpha) #s(literal -2 binary64) (fma.f64 (*.f64 alpha alpha) #s(literal 2 binary64) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))))) (neg.f64 alpha) (*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) alpha))) (neg.f64 (pow.f64 beta #s(literal 3 binary64)))) (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 alpha) alpha) beta) (/.f64 #s(literal -2 binary64) beta) (fma.f64 (/.f64 (*.f64 alpha alpha) beta) (/.f64 #s(literal 2 binary64) beta) (/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) (*.f64 beta beta)))))) (*.f64 beta beta)) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (neg.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) 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 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta))) (neg.f64 beta)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta)) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(/.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64)) alpha) (neg.f64 beta)) #s(literal -1 binary64) #s(literal 1 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) #s(literal -1 binary64) #s(literal 1 binary64)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) beta) (neg.f64 beta) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))) (neg.f64 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 |
#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)) |
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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) 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 alpha) 2) 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 alpha) 2) 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1/2 binary64))) (neg.f64 beta))) beta)) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(* -1 (pow beta 2)) |
(*.f64 (neg.f64 beta) beta) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (* -1 alpha)) 2) beta)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (+ (* -1 alpha) (* -1 (/ (* alpha (- alpha 2)) beta)))) 2) beta)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (- (+ alpha (+ (* -1 alpha) (* -1 (/ (* alpha (- alpha 2)) beta)))) 2) beta)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 alpha) (/.f64 (-.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) beta) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 beta beta)) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))) |
(-.f64 #s(literal 2 binary64) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) |
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (/ (* alpha (- alpha 2)) beta)) (+ (* -2 (/ (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) beta)) (* -1 (/ (- (pow alpha 2) 4) beta)))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 alpha (/.f64 (-.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)))) (fma.f64 (*.f64 alpha (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)) #s(literal -2 binary64) (/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) beta))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (* -1 (/ (+ (* -1 (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4))))) (* -1 (/ (+ (* -2 (* alpha (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) beta))) beta))) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) alpha) (-.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))))) (neg.f64 beta)) (-.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))))) (neg.f64 beta)) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) beta)) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha)))) (* 1/2 (/ (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))) beta) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4))))) (* -1/2 (/ (+ (* -2 (* alpha (- (* alpha (- alpha 2)) (+ (* -2 (* alpha (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) (* -1 (- (pow alpha 2) 4)))))) (* (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))) (- (pow alpha 2) 4))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (+ 2 (* 2 alpha))))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) alpha) (-.f64 (fma.f64 (-.f64 alpha #s(literal 2 binary64)) alpha (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64)))))) beta))) (neg.f64 beta))) beta)) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta) |
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(/ -1 (pow beta 2)) |
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(/.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 beta beta)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) 4) beta)) (* 4 (/ (pow alpha 2) beta))) (* 2 alpha)) beta)) 1) (pow beta 2)) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(/ 1 (+ 2 beta)) |
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(+ 2 beta) |
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(* 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)) |
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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 (+ 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 (/ 1 beta)) |
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) 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))))) |
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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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(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(* -1 (* beta (- beta 2))) |
(*.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64)) beta) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ beta (* -1 beta)) 2))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64)) beta (*.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ alpha (+ beta (* -1 beta))) 2))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64)) beta (*.f64 (-.f64 alpha #s(literal 2 binary64)) alpha)) |
(+ (* -1 (* beta (- beta 2))) (* alpha (- (+ alpha (+ beta (* -1 beta))) 2))) |
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(+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))) |
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(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4)))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
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(+ 1 (+ (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (+ (* alpha (- (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))) (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (/ beta (- (pow beta 2) 4)))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
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-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* alpha (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) (/.f64 (-.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) (*.f64 beta beta)) (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) alpha (fma.f64 beta (/.f64 (-.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta #s(literal -4 binary64))) #s(literal 1 binary64)))) |
(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* -1/2 (* alpha (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2)))))) (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2)))))))) |
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(+ (* 1/2 (+ 1 (/ (* beta (- beta 2)) (- (pow beta 2) 4)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* alpha (+ (* -1/2 (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (* 1/2 (* alpha (- (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 3))) (+ (* -2 (/ (* beta (+ (* 2 (/ (* beta (- (+ (* -1 (/ (- beta 2) (- (pow beta 2) 4))) (/ beta (- (pow beta 2) 4))) (* 2 (/ (* (pow beta 2) (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (/ 1 (- (pow beta 2) 4)) (/ (* beta (- beta 2)) (pow (- (pow beta 2) 4) 2))))) (- (pow beta 2) 4))) (+ (* -1 (/ (- beta 2) (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2)))))))))))) |
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beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ -1 (- (pow beta 2) 4)) |
(/.f64 #s(literal -1 binary64) (fma.f64 beta beta #s(literal -4 binary64))) |
(- (* alpha (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal -1 binary64) (fma.f64 beta beta #s(literal -4 binary64)))) |
(- (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))))) (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4))))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 beta) beta #s(literal -4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)))))) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta))) (neg.f64 alpha) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 #s(literal -1 binary64) (fma.f64 beta beta #s(literal -4 binary64)))) |
(- (* alpha (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -1 beta) (* 2 beta)) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (+ (/ 1 (* beta (pow (- (pow beta 2) 4) 2))) (/ (* (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))) (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4)) (* beta (- (pow beta 2) 4))))))) (+ (* -1 (/ (* (- (+ (* -2 (pow beta 2)) (pow beta 2)) 4) (- (+ (* 4 (/ 1 (* beta (pow (- (pow beta 2) 4) 2)))) (/ 1 (* beta (- (pow beta 2) 4)))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (* beta (- (pow beta 2) 4)))) (/ 1 (pow (- (pow beta 2) 4) 2))))) (/ 1 (* beta (- (pow beta 2) 4))))) (+ (* -2 (/ beta (pow (- (pow beta 2) 4) 2))) (/ beta (pow (- (pow beta 2) 4) 2))))) (/ 1 (- (pow beta 2) 4))) |
(fma.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 beta beta)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))))) (fma.f64 beta beta #s(literal -4 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 beta) beta #s(literal -4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)))))) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta))) (fma.f64 beta beta #s(literal -4 binary64))) (/.f64 (fma.f64 (neg.f64 beta) beta #s(literal -4 binary64)) beta) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta)))) alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 beta) beta #s(literal -4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)))))) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta))))) alpha (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta #s(literal -4 binary64)) beta))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64)) beta))) (neg.f64 (/.f64 beta (pow.f64 (fma.f64 beta beta #s(literal -4 binary64)) #s(literal 2 binary64))))) alpha (/.f64 #s(literal -1 binary64) (fma.f64 beta beta #s(literal -4 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 (-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (*.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 beta #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) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha)))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 beta #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 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (-.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (fma.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64)))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) alpha) |
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)) #s(literal 1 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 alpha alpha)))) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(* -1 (/ alpha beta)) |
(/.f64 (neg.f64 alpha) beta) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(*.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha alpha))))) alpha) |
(* -2 (/ alpha beta)) |
(*.f64 (/.f64 alpha beta) #s(literal -2 binary64)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(* -2 alpha) |
(*.f64 #s(literal -2 binary64) alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (/ beta alpha))) (* 2 (/ 1 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* beta (- beta 2)) (pow alpha 2))) (/ beta alpha)))) (* 2 (/ 1 alpha)))) |
(*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) (/.f64 beta alpha))) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* beta (- beta 2)) (pow alpha 2))) (/ beta alpha)))) (* 2 (/ 1 alpha)))) |
(*.f64 (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) (/.f64 beta alpha))) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 alpha alpha)) |
(/ (- (+ beta (* -1 (- beta 2))) (* -2 beta)) alpha) |
(/.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (/ (* beta (- beta 2)) alpha))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha))))) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 beta (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) (fma.f64 #s(literal -1 binary64) beta #s(literal 2 binary64))) beta) (fma.f64 #s(literal -2 binary64) beta (fma.f64 (*.f64 beta (/.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)) alpha)))) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (+ (* -1 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (/ (* beta (- beta 2)) alpha)))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha))))) alpha) |
(/.f64 (-.f64 (+.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (fma.f64 beta (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))) (*.f64 (neg.f64 alpha) alpha)))) (fma.f64 #s(literal -2 binary64) beta (fma.f64 (*.f64 beta (/.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)) alpha)))) alpha) |
(/ (- (+ beta (+ (* -1 (- beta 2)) (+ (* -1 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (/ (* beta (- beta 2)) alpha)))) (+ (* -2 beta) (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (+ (* 2 (/ (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))))))) (pow alpha 2))) (+ (* 2 (/ (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta))) alpha)) (/ (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4)) (pow alpha 2))))))) alpha) |
(/.f64 (-.f64 (+.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (fma.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))))) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) beta (-.f64 (fma.f64 (*.f64 (/.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) alpha) (fma.f64 (*.f64 beta (/.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 beta beta #s(literal -4 binary64))) (*.f64 alpha alpha)))) (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) alpha)))) alpha) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(* 1/2 (/ (- (+ beta (* -1 (- beta 2))) (* -2 beta)) alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 beta (-.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) beta)) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) alpha))) alpha) |
(/ (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha)))) alpha) |
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(/ (+ (* -1/2 (/ (+ (* -2 (* beta (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) (- (pow beta 2) 4))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* 2 (* beta (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))))) (* (- (+ beta (* -1 (- beta 2))) (* -2 beta)) (- (pow beta 2) 4))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 (- beta 2))) (* -2 beta))) (* 1/2 (/ (- (* beta (- beta 2)) (+ (* -1 (- (pow beta 2) 4)) (* 2 (* beta (- (+ beta (* -1 (- beta 2))) (* -2 beta)))))) alpha))))) alpha) |
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alpha |
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alpha |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ beta (* -1 beta)) 2)) (/ (* beta (- beta 2)) alpha)) alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ beta (* -1 beta)) 2)) (/ (* beta (- beta 2)) alpha)) alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (/.f64 (-.f64 beta #s(literal 2 binary64)) alpha) #s(literal 2 binary64)) alpha)) (*.f64 alpha alpha)) |
(* -1 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (neg.f64 alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (neg.f64 alpha)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -2 (/ (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) alpha)) (+ (* beta (- beta 2)) (/ (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)) alpha))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 beta (/.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) alpha) (*.f64 (-.f64 beta #s(literal 2 binary64)) beta)) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64))))) alpha) #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (/ (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4)) alpha)) (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) alpha)) (* beta (- beta 2))) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)))) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 beta #s(literal 2 binary64)) beta (/.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) alpha) (/.f64 (*.f64 (*.f64 beta #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64))))))) alpha)) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64))))))) (neg.f64 alpha))) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (neg.f64 alpha)) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 alpha)) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(* -1/2 (/ (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) |
(* -1 (/ (+ (* -1/2 (/ (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) alpha) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4))))) (* 1/2 (/ (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))) alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4)))) (* 1/2 (/ (+ (* 2 (* beta (+ (* -2 (* beta (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) (* (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))) (- (pow beta 2) 4))))) (* (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))) (- (pow beta 2) 4))) alpha))) alpha)) (* 1/2 (- (* beta (- beta 2)) (+ (* -2 (* beta (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) (* -1 (- (pow beta 2) 4)))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (+ 2 (* 2 beta))))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(/ -1 (pow alpha 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) |
(/ (- (* 2 (/ beta alpha)) 1) (pow alpha 2)) |
(/.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 alpha alpha)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) 4) alpha)) (* 4 (/ (pow beta 2) alpha))) (* 2 beta)) alpha)) 1) (pow alpha 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 alpha alpha)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* beta (- (pow beta 2) 4)) alpha)) (* 2 (/ (* beta (+ (* -1 (- (pow beta 2) 4)) (* 4 (pow beta 2)))) alpha))) (+ (* -1 (- (pow beta 2) 4)) (* 4 (pow beta 2)))) alpha)) (* 2 beta)) alpha)) 1) (pow alpha 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64))) beta) alpha) #s(literal 2 binary64) (*.f64 (*.f64 beta (/.f64 (fma.f64 beta beta #s(literal -4 binary64)) alpha)) #s(literal -2 binary64))) (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (neg.f64 alpha)) (*.f64 beta #s(literal 2 binary64))) (neg.f64 alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 259 |
| 0 | 70 | 207 |
| 1 | 355 | 189 |
| 2 | 3117 | 189 |
| 0 | 8722 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(+.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 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) |
| Outputs |
|---|
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Compiled 41 628 to 4 660 computations (88.8% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 273 | 9 | 1 282 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 277 | 14 | 1 291 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.5% | (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 47.6% | (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| 46.0% | (/.f64 (fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/.f64 #s(literal -1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64)))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ✓ | 74.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 26.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| ▶ | 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
| ▶ | 50.3% | #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))) |
| 30.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| 46.7% | #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)))) | |
| ▶ | 45.6% | #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)))) |
| 46.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) | |
| ▶ | 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 25.4% | #s(approx (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
Compiled 537 to 292 computations (45.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (+.f64 beta #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 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 beta alpha) #s(literal -2 binary64)) | |
| cost-diff | 0 | (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 512 | (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 13120 | (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 258 |
| 0 | 58 | 258 |
| 1 | 95 | 244 |
| 2 | 151 | 244 |
| 3 | 278 | 244 |
| 4 | 472 | 240 |
| 5 | 808 | 240 |
| 6 | 1570 | 240 |
| 7 | 2810 | 240 |
| 8 | 4610 | 240 |
| 9 | 5376 | 240 |
| 10 | 5615 | 240 |
| 11 | 5701 | 240 |
| 12 | 5723 | 240 |
| 13 | 6326 | 240 |
| 14 | 6602 | 240 |
| 15 | 6602 | 240 |
| 16 | 6620 | 240 |
| 17 | 6620 | 240 |
| 18 | 6620 | 240 |
| 19 | 6644 | 240 |
| 20 | 6646 | 240 |
| 21 | 6646 | 240 |
| 22 | 6651 | 240 |
| 0 | 6651 | 229 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) |
(+.f64 beta alpha) |
beta |
alpha |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
beta |
#s(literal 1 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
#s(literal 1 binary64) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
beta |
alpha |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) |
(*.f64 (-.f64 beta alpha) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(-.f64 beta alpha) |
#s(literal 1 binary64) |
#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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
(-.f64 beta #s(literal -1 binary64)) |
beta |
#s(literal 1 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 18.345246355554313 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) | |
| accuracy | 18.432240771028795 | (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) | |
| accuracy | 0 | (+.f64 beta #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) | |
| accuracy | 45.9444017528965 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 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 | 16.24525299229447 | #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 | 20.47911627219271 | #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 | 16.24525299229447 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 17.68495871874672 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (+.f64 beta alpha) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) | |
| accuracy | 0.3125 | (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) | |
| accuracy | 15.632945477725425 | (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) |
| 82.0ms | 179× | 0 | valid |
| 25.0ms | 32× | 2 | valid |
| 22.0ms | 45× | 1 | valid |
Compiled 379 to 68 computations (82.1% saved)
ival-mult: 22.0ms (28.9% of total)ival-add: 14.0ms (18.4% of total)ival-pow: 12.0ms (15.7% of total)ival-div: 11.0ms (14.4% of total)adjust: 9.0ms (11.8% of total)ival-sub: 6.0ms (7.9% of total)exact: 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 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (patch (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #<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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (patch (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #<representation binary64>) () ()) |
#s(alt (+.f64 beta #s(literal 1 binary64)) (patch (+.f64 beta #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (patch (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #<representation binary64>) () ()) |
#s(alt (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) (patch (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #<representation binary64>) () ()) |
#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))) (taylor 0 beta) (#s(alt (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #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 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #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 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #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 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 2 alpha))) (taylor 0 beta) (#s(alt (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (+ 2 alpha))) (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 3)))))) (taylor 0 beta) (#s(alt (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 5)))))))) (taylor 0 beta) (#s(alt (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* beta (+ (* -5/16 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))) (taylor 0 beta) (#s(alt (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 alpha) (taylor 0 beta) (#s(alt (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (patch (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (patch (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (patch (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (+ alpha beta)) (taylor 0 beta) (#s(alt (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (patch (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#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 (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) (taylor 0 beta) (#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 (+ (* 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 #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>) () ())) ()) |
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#s(alt alpha (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (taylor -inf alpha) (#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | alpha | @ | inf | ((+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) (/ (+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) 2) (pow (- (+ beta alpha) -2) -1/2) (- (+ beta alpha) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha)) (+ beta alpha)) |
| 3.0ms | beta | @ | -inf | ((+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) (/ (+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) 2) (pow (- (+ beta alpha) -2) -1/2) (- (+ beta alpha) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha)) (+ beta alpha)) |
| 2.0ms | alpha | @ | -inf | ((+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) (/ (+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) 2) (pow (- (+ beta alpha) -2) -1/2) (- (+ beta alpha) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha)) (+ beta alpha)) |
| 2.0ms | beta | @ | inf | ((+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) (/ (+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) 2) (pow (- (+ beta alpha) -2) -1/2) (- (+ beta alpha) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha)) (+ beta alpha)) |
| 2.0ms | beta | @ | 0 | ((+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) (/ (+ (* (pow (- (+ beta alpha) -2) -1/2) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha))) 1) 2) (pow (- (+ beta alpha) -2) -1/2) (- (+ beta alpha) -2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ beta (- beta -2)) 1/2) 1/2) (+ (* (+ (* -1/8 beta) 1/4) beta) 1/2) (+ (* -1/8 beta) 1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (+ beta 1) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (- 1 (/ alpha (+ 2 alpha))) (/ alpha (+ 2 alpha)) (* (pow (- (+ beta alpha) -2) -1/2) (- beta alpha)) (+ beta alpha)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 777 | 7233 |
| 1 | 2444 | 6767 |
| 2 | 7544 | 6756 |
| 0 | 8179 | 6393 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(sqrt (/ 1 (+ 2 alpha))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 3)))))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* beta (+ (* -5/16 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ 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))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 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 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1 beta) |
(+ 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 (* alpha (sqrt (/ 1 (+ 2 alpha))))) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3)))))))) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (+ (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3))))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* -3/8 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))))) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (+ (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3))))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (+ (* -3/8 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 5))))) (* beta (+ (* 5/16 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))))))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
1 |
(+ 1 (* -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)))))) |
(sqrt (/ 1 beta)) |
(+ (sqrt (/ 1 beta)) (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha)))) |
(+ (sqrt (/ 1 beta)) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))))) |
(+ (sqrt (/ 1 beta)) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 7))) (+ (* 1/4 (* beta (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))) (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2)))))) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(* -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 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
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)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(* beta (+ 1 (/ 1 beta))) |
(* beta (+ 1 (/ 1 beta))) |
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)))))) |
(sqrt beta) |
(* beta (+ (sqrt (/ 1 beta)) (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))))) |
(* beta (+ (sqrt (/ 1 beta)) (+ (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))) (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha)))))) |
(* beta (+ (sqrt (/ 1 beta)) (+ (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))) (* 1/2 (* (* alpha (+ 2 alpha)) (sqrt (/ 1 (pow beta 5)))))))))) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
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 |
(+ 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))) |
(* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt beta) (pow (+ 2 alpha) 2))) (* 1/2 (* (sqrt (/ 1 beta)) (+ (* -1/4 (/ (* beta (pow (+ 2 alpha) 2)) (pow (sqrt -1) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) 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 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 |
(+ 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))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(* beta (+ 1 (/ 1 beta))) |
(* beta (+ 1 (/ 1 beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* (sqrt beta) (pow (sqrt -1) 2)) |
(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 (pow beta 3))))))) |
(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 beta)))) (* -1/2 (* (sqrt (/ 1 beta)) (+ 2 alpha)))) beta))))) |
(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 beta)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 beta)) (pow (+ 2 alpha) 2))) (+ (* -1/2 (* (* alpha (+ 2 alpha)) (sqrt (/ 1 beta)))) (* 1/2 (* (sqrt beta) (+ 2 alpha))))) beta))) beta))))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(sqrt (/ 1 (+ 2 beta))) |
(+ (sqrt (/ 1 (+ 2 beta))) (* -1/2 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 3)))))) |
(+ (sqrt (/ 1 (+ 2 beta))) (* alpha (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* 3/8 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 5)))))))) |
(+ (sqrt (/ 1 (+ 2 beta))) (* alpha (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* alpha (+ (* -5/16 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 beta) 5))))))))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 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 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1 |
(+ 1 (* -1/2 alpha)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(* beta (sqrt (/ 1 (+ 2 beta)))) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (+ (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))) (* alpha (+ (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 beta) 5))))) (* 1/2 (sqrt (/ 1 (pow (+ 2 beta) 3))))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (+ (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))) (* alpha (+ (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 beta) 5))))) (+ (* 1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* alpha (+ (* -3/8 (sqrt (/ 1 (pow (+ 2 beta) 5)))) (* -5/16 (* beta (sqrt (/ 1 (pow (+ 2 beta) 7))))))))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(sqrt (/ 1 alpha)) |
(+ (sqrt (/ 1 alpha)) (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta)))) |
(+ (sqrt (/ 1 alpha)) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* 1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2))))) |
(+ (sqrt (/ 1 alpha)) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 7))) (+ (* 1/4 (* alpha (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))) (* 1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2)))))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 1/2 (/ (+ 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 (/ (+ 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 2 alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* -1 (sqrt alpha)) |
(* alpha (+ (* -1 (sqrt (/ 1 alpha))) (* (sqrt (/ 1 (pow alpha 3))) beta))) |
(* alpha (+ (* -1 (sqrt (/ 1 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* (sqrt (/ 1 (pow alpha 3))) beta)))) |
(* alpha (+ (* -1 (sqrt (/ 1 alpha))) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 5))) (* beta (+ 2 beta)))) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* (sqrt (/ 1 (pow alpha 3))) beta)))))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (+ (* 1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2))) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt alpha) (pow (+ 2 beta) 2))) (* 1/2 (* (sqrt (/ 1 alpha)) (+ (* -1/4 (/ (* alpha (pow (+ 2 beta) 2)) (pow (sqrt -1) 2))) (pow (+ 2 beta) 3))))) (pow alpha 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1/2 (/ (- (* -1 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 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ 1 alpha) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ 2 alpha) |
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
(* -1 (* (sqrt alpha) (pow (sqrt -1) 2))) |
(* -1 (* alpha (+ (* -1 (* (sqrt (/ 1 (pow alpha 3))) (* beta (pow (sqrt -1) 2)))) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2))))) |
(* -1 (* alpha (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 alpha)) (+ 2 beta))) (* (sqrt (/ 1 alpha)) (* beta (pow (sqrt -1) 2)))) alpha)) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2))))) |
(* -1 (* alpha (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt alpha) (* beta (+ 2 beta)))) (* -1/2 (* (sqrt alpha) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (* (sqrt alpha) (+ 2 beta)))) alpha)) (* (sqrt (/ 1 alpha)) (* beta (pow (sqrt -1) 2)))) alpha)) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
| Outputs |
|---|
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 beta #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(sqrt (/ 1 (+ 2 alpha))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 3)))))) |
(fma.f64 (*.f64 beta #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 5)))))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal 3/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) beta (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (sqrt (/ 1 (+ 2 alpha))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* beta (+ (* -5/16 (* beta (sqrt (/ 1 (pow (+ 2 alpha) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) beta (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) beta (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 beta #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 beta #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)) |
1/2 |
#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 (* -1/8 beta)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
1/4 |
#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 (* -1/8 beta)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(+ 1/4 (* -1/8 beta)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 beta #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
1 |
#s(literal 1 binary64) |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* 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 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* 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 beta #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (-.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) |
(* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) |
(*.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3)))))))) |
(fma.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta)) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (+ (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3))))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (* -3/8 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) beta (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) |
(+ (* -1 (* alpha (sqrt (/ 1 (+ 2 alpha))))) (* beta (+ (sqrt (/ 1 (+ 2 alpha))) (+ (* 1/2 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 3))))) (* beta (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 alpha) 3)))) (+ (* -3/8 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 5))))) (* beta (+ (* 5/16 (* alpha (sqrt (/ 1 (pow (+ 2 alpha) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 alpha) 5))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 5/16 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) beta (*.f64 (*.f64 #s(literal -3/8 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))))) beta (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) |
alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta 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 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64)) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (+.f64 (fma.f64 (neg.f64 alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) beta)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(sqrt (/ 1 beta)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) beta)) |
(+ (sqrt (/ 1 beta)) (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) beta))) |
(+ (sqrt (/ 1 beta)) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 5 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)))) |
(+ (sqrt (/ 1 beta)) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 7))) (+ (* 1/4 (* beta (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)))) (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) alpha) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (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 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (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 beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) beta) beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
(* -1/8 (pow beta 2)) |
(*.f64 (*.f64 beta beta) #s(literal -1/8 binary64)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) beta) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1/4 binary64) beta)) #s(literal 1/8 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1/4 binary64) beta)) #s(literal 1/8 binary64)) (*.f64 beta beta)) |
(* -1/8 beta) |
(*.f64 #s(literal -1/8 binary64) beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 binary64)) |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 binary64)) |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 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 #s(literal 1/2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta) beta)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(sqrt beta) |
(sqrt.f64 beta) |
(* beta (+ (sqrt (/ 1 beta)) (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))))) |
(*.f64 (fma.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) beta))) beta) |
(* beta (+ (sqrt (/ 1 beta)) (+ (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))) (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)))) beta) |
(* beta (+ (sqrt (/ 1 beta)) (+ (* -1 (* alpha (sqrt (/ 1 (pow beta 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))) (* 1/2 (* (* alpha (+ 2 alpha)) (sqrt (/ 1 (pow beta 5)))))))))) |
(*.f64 (+.f64 (fma.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 5 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (/ alpha beta))) |
(fma.f64 (/.f64 alpha beta) beta beta) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (neg.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) 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 (fma.f64 (fma.f64 #s(literal -1 binary64) alpha #s(literal -2 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta))) (neg.f64 beta)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 beta))) beta)) |
(* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) beta))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow beta 5))) (pow (+ 2 alpha) 2))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 5 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) beta))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt beta) (pow (+ 2 alpha) 2))) (* 1/2 (* (sqrt (/ 1 beta)) (+ (* -1/4 (/ (* beta (pow (+ 2 alpha) 2)) (pow (sqrt -1) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow beta 3))) (+ 2 alpha))) (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal -1 binary64)) #s(literal -1/4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (sqrt.f64 beta))) (pow.f64 beta #s(literal 3 binary64)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 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)) |
(* -1/8 (pow beta 2)) |
(*.f64 (*.f64 beta beta) #s(literal -1/8 binary64)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) beta) #s(literal 1/8 binary64)) beta) beta) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1/4 binary64) beta)) #s(literal 1/8 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1/4 binary64) beta)) #s(literal 1/8 binary64)) (*.f64 beta beta)) |
(* -1/8 beta) |
(*.f64 #s(literal -1/8 binary64) beta) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 beta))) beta)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
beta |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 binary64)) |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 binary64)) |
(* beta (+ 1 (/ 1 beta))) |
(+.f64 beta #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (neg.f64 (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) (neg.f64 beta))) beta)) |
(* (sqrt beta) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 beta) #s(literal -1 binary64)) |
(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 (pow beta 3))))))) |
(*.f64 (neg.f64 beta) (fma.f64 (neg.f64 alpha) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 beta #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64)))) |
(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 beta)))) (* -1/2 (* (sqrt (/ 1 beta)) (+ 2 alpha)))) beta))))) |
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(* -1 (* beta (+ (* -1 (* (sqrt (/ 1 beta)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (* alpha (pow (sqrt -1) 2)) (sqrt (/ 1 beta)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 beta)) (pow (+ 2 alpha) 2))) (+ (* -1/2 (* (* alpha (+ 2 alpha)) (sqrt (/ 1 beta)))) (* 1/2 (* (sqrt beta) (+ 2 alpha))))) beta))) beta))))) |
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beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (neg.f64 beta) (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(+ 1 (/ beta (+ 2 beta))) |
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(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(* 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))))) |
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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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(sqrt (/ 1 (+ 2 beta))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) |
(+ (sqrt (/ 1 (+ 2 beta))) (* -1/2 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 3)))))) |
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(+ (sqrt (/ 1 (+ 2 beta))) (* alpha (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* 3/8 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 5)))))))) |
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(+ (sqrt (/ 1 (+ 2 beta))) (* alpha (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* alpha (+ (* -5/16 (* alpha (sqrt (/ 1 (pow (+ 2 beta) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 beta) 5))))))))) |
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(+ 2 beta) |
(+.f64 beta #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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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 (+ 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))))) |
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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 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
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(* 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))))) |
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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 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 alpha)) |
(fma.f64 #s(literal -1/2 binary64) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* 1/4 alpha) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) alpha #s(literal 1/4 binary64)) alpha #s(literal -1/2 binary64)) alpha #s(literal 1 binary64)) |
(* 1/2 alpha) |
(*.f64 #s(literal 1/2 binary64) alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) alpha) |
(* beta (sqrt (/ 1 (+ 2 beta)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) beta) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))))) alpha (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) beta)) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (+ (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))) (* alpha (+ (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 beta) 5))))) (* 1/2 (sqrt (/ 1 (pow (+ 2 beta) 3))))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) alpha (*.f64 (*.f64 #s(literal -1/2 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) beta)) |
(+ (* alpha (+ (* -1 (sqrt (/ 1 (+ 2 beta)))) (+ (* -1/2 (* beta (sqrt (/ 1 (pow (+ 2 beta) 3))))) (* alpha (+ (* 3/8 (* beta (sqrt (/ 1 (pow (+ 2 beta) 5))))) (+ (* 1/2 (sqrt (/ 1 (pow (+ 2 beta) 3)))) (* alpha (+ (* -3/8 (sqrt (/ 1 (pow (+ 2 beta) 5)))) (* -5/16 (* beta (sqrt (/ 1 (pow (+ 2 beta) 7))))))))))))) (* beta (sqrt (/ 1 (+ 2 beta))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 5 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal -3/8 binary64))) alpha (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) alpha (fma.f64 (*.f64 #s(literal -1/2 binary64) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))))) alpha (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) beta)) |
beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ (+ 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 beta #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #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 (fma.f64 beta #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha))) (/.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) alpha)) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 beta #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 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) (-.f64 (fma.f64 beta #s(literal 2 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) alpha)) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (*.f64 beta (+.f64 (pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 3 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))) alpha) |
(* 1/2 (/ (+ 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 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(sqrt (/ 1 alpha)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) alpha)) |
(+ (sqrt (/ 1 alpha)) (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha))) |
(+ (sqrt (/ 1 alpha)) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* 1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha)))) |
(+ (sqrt (/ 1 alpha)) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (+ (* -1/2 (* (sqrt (/ 1 (pow alpha 7))) (+ (* 1/4 (* alpha (pow (+ 2 beta) 2))) (pow (+ 2 beta) 3)))) (* 1/2 (* (sqrt (/ 1 (pow alpha 5))) (pow (+ 2 beta) 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 beta #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) alpha (+.f64 beta #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) 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 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) 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 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta))) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ 2 alpha) |
(/.f64 #s(literal 2 binary64) alpha) |
(/ (- 2 (* 4 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 alpha #s(literal 3 binary64)))) 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 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(* -1 (sqrt alpha)) |
(neg.f64 (sqrt.f64 alpha)) |
(* alpha (+ (* -1 (sqrt (/ 1 alpha))) (* (sqrt (/ 1 (pow alpha 3))) beta))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha))) alpha) |
(* alpha (+ (* -1 (sqrt (/ 1 alpha))) (+ (* 1/2 (* (sqrt (/ 1 (pow alpha 3))) (+ 2 beta))) (* (sqrt (/ 1 (pow alpha 3))) beta)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 alpha #s(literal 3 binary64)))) beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha)))) alpha) |
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alpha |
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(fma.f64 (/.f64 beta alpha) alpha alpha) |
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alpha |
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1 |
#s(literal 1 binary64) |
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(* -1 (* (sqrt alpha) (pow (sqrt -1) 2))) |
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(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha)) (*.f64 (neg.f64 beta) (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha)))) alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt alpha) (* beta (+ 2 beta)))) (* -1/2 (* (sqrt alpha) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (* (sqrt alpha) (+ 2 beta)))) alpha)) (* (sqrt (/ 1 alpha)) (* beta (pow (sqrt -1) 2)))) alpha)) (* (sqrt (/ 1 alpha)) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) alpha))) beta (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (sqrt.f64 alpha) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)))) alpha)) (neg.f64 alpha))) alpha)) (neg.f64 alpha)) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 (neg.f64 beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 (neg.f64 beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 (/.f64 (neg.f64 beta) alpha) (neg.f64 alpha) alpha) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 234 |
| 0 | 58 | 234 |
| 1 | 292 | 216 |
| 2 | 2358 | 216 |
| 0 | 9708 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 beta 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(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) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) |
(+.f64 beta alpha) |
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Compiled 20 450 to 2 619 computations (87.2% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 790 | 9 | 799 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 794 | 19 | 813 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.6% | (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 74.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 26.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| ✓ | 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
| 25.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) | |
| ✓ | 50.3% | #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))) |
| 3.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 6.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
| 30.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| 46.7% | #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)))) | |
| ✓ | 45.6% | #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)))) |
| 46.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ▶ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| ▶ | 49.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| ▶ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 23.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha)) alpha))) | |
| 23.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| ✓ | 38.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 293 to 280 computations (4.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) | |
| cost-diff | 0 | (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 beta alpha) | |
| cost-diff | 0 | #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 295 |
| 0 | 63 | 295 |
| 1 | 97 | 295 |
| 2 | 146 | 295 |
| 3 | 281 | 295 |
| 4 | 479 | 295 |
| 5 | 733 | 295 |
| 6 | 1117 | 295 |
| 7 | 1736 | 295 |
| 8 | 2743 | 295 |
| 9 | 4739 | 295 |
| 10 | 5615 | 295 |
| 11 | 6317 | 295 |
| 12 | 6585 | 295 |
| 13 | 6736 | 295 |
| 14 | 6754 | 295 |
| 15 | 6876 | 295 |
| 16 | 6956 | 295 |
| 17 | 7121 | 295 |
| 18 | 7121 | 295 |
| 19 | 7121 | 295 |
| 20 | 7407 | 295 |
| 21 | 7591 | 295 |
| 22 | 7607 | 295 |
| 23 | 7607 | 295 |
| 24 | 7607 | 295 |
| 25 | 7613 | 295 |
| 0 | 7613 | 285 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
#s(literal 1/8 binary64) |
alpha |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
alpha |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
#s(literal -1/16 binary64) |
alpha |
#s(literal 1/8 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) |
#s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
alpha |
(-.f64 beta alpha) |
beta |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
#s(literal 1/8 binary64) |
alpha |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
#s(literal -1/4 binary64) |
alpha |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
#s(literal -1/16 binary64) |
alpha |
#s(literal 1/8 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64)) |
#s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
#s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) |
(/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
alpha |
(-.f64 beta alpha) |
beta |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 2 binary64) alpha) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 15.665537999374285 | (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) | |
| accuracy | 18.203874004027575 | #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) | |
| accuracy | 18.345246355554313 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| accuracy | 20.170256019972783 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 beta alpha) | |
| accuracy | 42.295077343605094 | #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) | |
| accuracy | 45.9444017528965 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) | |
| accuracy | 0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| accuracy | 18.345246355554313 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| accuracy | 20.2981341293643 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) | |
| accuracy | 18.345246355554313 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) | |
| accuracy | 19.81777640917382 | #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
| 51.0ms | 180× | 0 | valid |
| 43.0ms | 44× | 1 | valid |
| 22.0ms | 32× | 2 | valid |
Compiled 357 to 71 computations (80.1% saved)
ival-mult: 35.0ms (37% of total)ival-add: 18.0ms (19.1% of total)ival-div: 14.0ms (14.8% of total)ival-pow: 14.0ms (14.8% of total)adjust: 10.0ms (10.6% of total)ival-sub: 4.0ms (4.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) (patch #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) #<representation binary64>) () ()) |
#s(alt (/.f64 beta alpha) (patch (/.f64 beta alpha) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) (patch #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (patch #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 2 binary64) alpha) (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) #<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 #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (pow (+ 2 (+ alpha beta)) -1) (/ 1 (+ 2 alpha)) (+ (* -1/16 alpha) 1/8) (+ 2 alpha)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (pow (+ 2 (+ alpha beta)) -1) (/ 1 (+ 2 alpha)) (+ (* -1/16 alpha) 1/8) (+ 2 alpha)) |
| 1.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (pow (+ 2 (+ alpha beta)) -1) (/ 1 (+ 2 alpha)) (+ (* -1/16 alpha) 1/8) (+ 2 alpha)) |
| 1.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (pow (+ 2 (+ alpha beta)) -1) (/ 1 (+ 2 alpha)) (+ (* -1/16 alpha) 1/8) (+ 2 alpha)) |
| 1.0ms | beta | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* 1/8 alpha) -1/4) alpha) 1/2) (+ (* 1/8 alpha) -1/4) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ beta 1) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (+ (* (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) alpha) 1/2) (+ (* (+ (* -1/16 alpha) 1/8) alpha) -1/4) (/ (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) 2) (+ (* (pow (+ 2 (+ alpha beta)) -1) (- beta alpha)) 1) (pow (+ 2 (+ alpha beta)) -1) (/ 1 (+ 2 alpha)) (+ (* -1/16 alpha) 1/8) (+ 2 alpha)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 6185 |
| 1 | 1642 | 5894 |
| 2 | 5171 | 5717 |
| 0 | 8308 | 5415 |
| 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))))))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ 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))))))))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(/ 1 (+ 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 |
(+ 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 (/ (+ 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 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(/ 1 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 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 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))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
2 |
(- (+ 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) |
(* -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 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
-1/4 |
(- (* 1/8 alpha) 1/4) |
(- (* 1/8 alpha) 1/4) |
(- (* 1/8 alpha) 1/4) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* -1/4 alpha)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
-1/4 |
(- (* 1/8 alpha) 1/4) |
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4) |
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ 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))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
1/8 |
(+ 1/8 (* -1/16 alpha)) |
(+ 1/8 (* -1/16 alpha)) |
(+ 1/8 (* -1/16 alpha)) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* 1/8 alpha) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1/4 alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(* 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1/16 (pow alpha 3)) |
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) 1/16)) |
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(* (pow alpha 3) (- (+ (* 1/8 (/ 1 alpha)) (* 1/2 (/ 1 (pow alpha 3)))) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(* -1/16 (pow alpha 2)) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16)) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 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 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))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(* -1/16 alpha) |
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16)) |
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16)) |
(* alpha (- (* 1/8 (/ 1 alpha)) 1/16)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 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) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
(* 1/8 alpha) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(* -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) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1/4 alpha) |
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha))))) |
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha))))) |
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ 1 alpha) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1/16 (pow alpha 3)) |
(* -1 (* (pow alpha 3) (- 1/16 (* 1/8 (/ 1 alpha))))) |
(* -1 (* (pow alpha 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 alpha))) alpha))))) |
(* -1 (* (pow alpha 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))) alpha))))) |
(* -1/16 (pow alpha 2)) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16)) |
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16)) |
(* (pow alpha 2) (- (* -1 (/ (- (* 1/4 (/ 1 alpha)) 1/8) alpha)) 1/16)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/ 1 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 alpha) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* -1/16 alpha) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
| 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 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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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 (+ 2 alpha)) |
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1 |
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(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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1 |
#s(literal 1 binary64) |
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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 (/ (+ 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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(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
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(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
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(/ beta alpha) |
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(/ beta alpha) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
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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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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))))) |
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(- (+ 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)))))) |
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(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
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(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) alpha) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) 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 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) alpha) #s(literal 2 binary64)) beta) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64)))) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 (/.f64 beta alpha) beta) (/.f64 beta alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (neg.f64 beta))) beta)) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 2 binary64)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (+.f64 #s(literal 2 binary64) alpha) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) 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 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta)) beta)) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) beta) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) alpha) #s(literal 2 binary64)) beta)) (neg.f64 beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) beta)) beta)) (neg.f64 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 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/8 alpha) 1/4) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(- (* 1/8 alpha) 1/4) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(- (* 1/8 alpha) 1/4) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64))))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/8 alpha) 1/4) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) |
(- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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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 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(/ 1 (+ 2 beta)) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/16 alpha)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/16 alpha)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/16 alpha)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+ 2 alpha) |
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(+ 2 alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
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(* 1/8 (pow alpha 2)) |
(*.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
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(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
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(* 1/8 alpha) |
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(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ 1 alpha) |
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(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
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(* -1/4 alpha) |
(*.f64 #s(literal -1/4 binary64) alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal 1/4 binary64)) alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal 1/4 binary64)) alpha) |
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) #s(literal 1/4 binary64)) alpha) |
(* 1/2 (/ (+ 2 (* 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) |
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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 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha)) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
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(* -1/16 (pow alpha 3)) |
(*.f64 (pow.f64 alpha #s(literal 3 binary64)) #s(literal -1/16 binary64)) |
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) 1/16)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) (pow.f64 alpha #s(literal 3 binary64))) |
(* (pow alpha 3) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) #s(literal 1/16 binary64)) (pow.f64 alpha #s(literal 3 binary64))) |
(* (pow alpha 3) (- (+ (* 1/8 (/ 1 alpha)) (* 1/2 (/ 1 (pow alpha 3)))) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) #s(literal 1/16 binary64))) (pow.f64 alpha #s(literal 3 binary64))) |
(* -1/16 (pow alpha 2)) |
(*.f64 (*.f64 alpha alpha) #s(literal -1/16 binary64)) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) 1/16)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) alpha) #s(literal 1/16 binary64)) alpha) alpha) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) #s(literal 1/16 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (* 1/8 (/ 1 alpha)) (+ 1/16 (/ 1/4 (pow alpha 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) alpha)) alpha) #s(literal 1/16 binary64)) (*.f64 alpha alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha)) beta) beta) #s(literal 2 binary64)) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha))) alpha) beta)) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) alpha))) (neg.f64 alpha))) alpha) beta)) (neg.f64 alpha)) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) alpha) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) alpha) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))) alpha)) alpha)) (neg.f64 alpha)) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) alpha)) (neg.f64 alpha)) |
(* -1/16 alpha) |
(*.f64 #s(literal -1/16 binary64) alpha) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) alpha)) (neg.f64 alpha)) |
(* -1 (* alpha (- 1/16 (* 1/8 (/ 1 alpha))))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) alpha)) (neg.f64 alpha)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 #s(literal 2 binary64) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 #s(literal 2 binary64) alpha) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 274 |
| 0 | 63 | 274 |
| 1 | 310 | 274 |
| 2 | 2421 | 274 |
| 0 | 8776 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) |
(/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) |
#s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) |
(fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) |
(+.f64 #s(literal 2 binary64) alpha) |
| Outputs |
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Compiled 11 182 to 1 662 computations (85.1% saved)
19 alts after pruning (8 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 1 | 565 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 565 | 19 | 584 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.6% | (/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | 74.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 25.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) | |
| ✓ | 28.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
| 25.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) | |
| ✓ | 50.3% | #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))) |
| 3.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 6.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
| 30.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| 46.7% | #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)))) | |
| ✓ | 45.6% | #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)))) |
| 46.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(approx (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) | |
| ✓ | 50.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| ✓ | 49.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| ✓ | 48.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 23.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha)) alpha))) | |
| 23.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| ✓ | 38.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 667 to 347 computations (48% 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 (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (+.f64 beta #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha)) alpha))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/.f64 #s(literal -1 binary64) (fma.f64 alpha alpha #s(literal -4 binary64)))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 alpha beta) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- alpha beta))) (- (pow (+ alpha beta) 2) 4)) (/ (- alpha beta) (pow (- (+ alpha beta) 2) -1))) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 beta #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 beta beta #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) beta) (-.f64 (*.f64 (-.f64 beta #s(literal 2 binary64)) beta) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) beta) #s(literal -2 binary64) (fma.f64 (neg.f64 beta) beta #s(literal 4 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 12.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 8.0ms | beta |
| 8.0ms | alpha |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #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 |
|---|---|---|
| 95.6% | 2 | alpha |
| 75.8% | 1 | beta |
| 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 35 to 30 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(approx (pow (+ 2 (+ alpha beta)) -1) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 35.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 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:
| 24.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.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))) |
| 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 |
|---|---|---|
| 98.4% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) alpha #s(literal 1/8 binary64)) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
4 calls:
| 29.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 4.0ms | alpha |
| 4.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | alpha |
| 94.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 94.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 94.9% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ 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 (+ beta 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))) |
| 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 |
|---|---|---|
| 94.6% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 94.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 94.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 15.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 94.4% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 94.4% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 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 |
|---|---|---|
| 94.3% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 94.3% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 94.3% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 33 to 26 computations (21.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta 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)) |
4 calls:
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | beta |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | beta |
| 76.0% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 76.0% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 76.0% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#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 (+ (* -1/8 beta) 1/4) #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 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:
| 3.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | beta |
| 73.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 73.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 73.2% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 34 to 28 computations (17.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 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:
| 18.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 72.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 72.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 72.7% | 2 | beta |
Compiled 34 to 28 computations (17.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | alpha |
| 1.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.0% | 1 | alpha |
| 38.0% | 1 | beta |
| 38.0% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 38.0% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 38.0% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 35 to 30 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999963655 | -0.9998965004062744 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999963655 | -0.9998965004062744 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9998965004062744 | -0.025822884819394397 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
| 0.0ms | -0.9999999999971607 | -0.9999999999963655 |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.056058015859831126 | 185273.93977980936 |
| 6.0ms | 106× | 0 | valid |
| 3.0ms | 16× | 2 | valid |
| 3.0ms | 22× | 1 | valid |
Compiled 88 to 132 computations (-50% saved)
ival-div: 3.0ms (39% of total)ival-add: 2.0ms (26% of total)adjust: 1.0ms (13% of total)ival-sub: 1.0ms (13% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.027264802562678662 | 0.9999892052902154 |
Compiled 16 to 16 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 947 |
| 1 | 124 | 947 |
| 2 | 138 | 947 |
| 3 | 148 | 947 |
| 4 | 157 | 947 |
| 5 | 177 | 947 |
| 6 | 209 | 947 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 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 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503599627356985/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 beta #s(literal 1 binary64))) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) #s(literal 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 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #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 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #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 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3602879701896397/72057594037927936 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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3602879701896397/72057594037927936 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 (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) alpha #s(literal -1/4 binary64)) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ beta 1) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (* (- 1 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503599627356985/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 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 -4503599627356985/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ beta 1) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4567 | 2155 |
| 0 | 8646 | 2014 |
| 0 | 777 | 7233 |
| 1 | 2444 | 6767 |
| 2 | 7544 | 6756 |
| 0 | 8179 | 6393 |
| 0 | 1153 | 10818 |
| 1 | 3770 | 10150 |
| 0 | 8868 | 9389 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 605 to 301 computations (50.2% saved)
Compiled 878 to 198 computations (77.4% saved)
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