
Time bar (total: 7.8s)
| 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)
| 566.0ms | 6 067× | 0 | valid |
| 302.0ms | 1 455× | 1 | valid |
| 204.0ms | 734× | 2 | valid |
ival-div: 232.0ms (31% of total)ival-add: 167.0ms (22.3% of total)adjust: 147.0ms (19.6% of total)ival->: 105.0ms (14% of total)ival-sub: 69.0ms (9.2% of total)exact: 14.0ms (1.9% 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 |
|---|---|---|---|---|---|
| 80 | 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 | 80 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 80 | 0 |
| - | 0 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 80 | 0 | 0 |
| - | 0 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 176 |
| 1 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 358× | 0 | valid |
| 31.0ms | 50× | 2 | valid |
| 15.0ms | 104× | 1 | valid |
Compiled 161 to 44 computations (72.7% saved)
ival-add: 30.0ms (46.5% of total)ival-sub: 17.0ms (26.3% of total)ival-div: 11.0ms (17% of total)adjust: 5.0ms (7.7% 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 |
|---|
(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 |
|---|---|---|
| ▶ | 71.2% | (/.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 |
|---|
(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 #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 beta alpha) |
beta |
alpha |
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) | |
| accuracy | 18.352073486580615 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 45.0ms | 179× | 0 | valid |
| 8.0ms | 25× | 2 | valid |
| 7.0ms | 52× | 1 | valid |
Compiled 98 to 22 computations (77.6% saved)
ival-div: 39.0ms (76.9% of total)ival-add: 7.0ms (13.8% of total)adjust: 2.0ms (3.9% of total)ival-sub: 2.0ms (3.9% 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 #<batchref> (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 #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (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 #<batchref> (taylor 0 beta) (#s(alt #<batchref> (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 #<batchref> (taylor 0 beta) (#s(alt #<batchref> (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 #<batchref> (taylor 0 beta) (#s(alt #<batchref> (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 #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor -inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor -inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor -inf beta) (#s(alt #<batchref> (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 #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (-.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf beta) (#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ())) ()) |
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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) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (- beta alpha) (+ alpha beta) (+ (+ alpha beta) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4567 | 2155 |
| 0 | 8647 | 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) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ 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 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 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)))) |
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 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ 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))) |
(* 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)) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta 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 (/ (- (* -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 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)))) |
(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)))) |
(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)))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) 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 alpha (-.f64 #s(literal -2 binary64) 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 alpha (-.f64 #s(literal -2 binary64) 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 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(neg.f64 alpha) |
(-.f64 beta alpha) |
(-.f64 beta alpha) |
(-.f64 beta alpha) |
alpha |
(+.f64 alpha beta) |
(+.f64 alpha beta) |
(+.f64 alpha beta) |
(+.f64 #s(literal 2 binary64) alpha) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
#s(literal 1 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)) |
(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))) |
(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))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) 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))) |
(-.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)))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(-.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)) |
(+.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 |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
beta |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 (/.f64 alpha beta) beta beta) |
beta |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta) |
#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 #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)) |
(-.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)) |
#s(literal 2 binary64) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64)) |
(-.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)) |
(+.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)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(-.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)) |
(+.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 |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta) |
beta |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(*.f64 (neg.f64 beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
beta |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(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))) |
(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))) |
(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))) |
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) |
(-.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))))) |
(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))) |
(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))) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
(-.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))))) |
(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)))) |
(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 |
(-.f64 beta alpha) |
(-.f64 beta alpha) |
(-.f64 beta alpha) |
beta |
(+.f64 alpha beta) |
(+.f64 alpha beta) |
(+.f64 alpha beta) |
(-.f64 beta #s(literal -2 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) 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 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.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 #s(literal 1 binary64) beta)) 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 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) 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 #s(literal 2 binary64) beta #s(literal 2 binary64))) 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 #s(literal 2 binary64) beta)) #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) |
(/.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 #s(literal 2 binary64) beta)) #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) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) 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))) |
(-.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)) |
(neg.f64 alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(/.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) |
(/.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)) |
(/.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)) |
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) 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) |
(/.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)) |
(/.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)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) |
(-.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)) |
(-.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)) |
(neg.f64 alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha) |
alpha |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
alpha |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) 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 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 17 197 to 2 379 computations (86.2% 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 |
|---|---|---|
| ▶ | 71.3% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ▶ | 32.4% | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) |
| ▶ | 31.7% | #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))) |
| ▶ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 31.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.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 #s(literal 1 binary64) beta)) alpha)) | |
| 31.8% | #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 #s(literal 1 binary64) beta)) alpha)) | |
| 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 44.8% | #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))) | |
| ▶ | 38.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 436 to 316 computations (27.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) | |
| cost-diff | 128 | (-.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)) | |
| 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 | 384 | (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 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 292 |
| 0 | 60 | 292 |
| 1 | 112 | 292 |
| 2 | 225 | 284 |
| 3 | 582 | 282 |
| 4 | 1613 | 282 |
| 5 | 5334 | 282 |
| 0 | 8416 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) |
#s(literal -2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
beta |
(-.f64 beta #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#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 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) |
#s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) |
(-.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)) |
#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) |
(*.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))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(+.f64 #s(literal 2 binary64) alpha) |
beta |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal -2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (-.f64 beta alpha)) |
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) |
#s(literal -2 binary64) |
(+.f64 beta alpha) |
alpha |
beta |
(-.f64 alpha beta) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 beta (-.f64 beta #s(literal -2 binary64))) |
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) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
(/.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 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
#s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (fma.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (fma.f64 (/.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) alpha) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) alpha) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) alpha)) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
(-.f64 (/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 alpha #s(literal -2 binary64)) beta) |
(-.f64 alpha #s(literal -2 binary64)) |
beta |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) | |
| accuracy | 0.03125 | (*.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))) | |
| accuracy | 0.7378287538545992 | (/.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) | |
| accuracy | 43.24647439195426 | #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) | |
| 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 | 0.00390625 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) | |
| accuracy | 43.72959964498221 | #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 | 0.01171875 | (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 beta (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 19.060367465565562 | #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 | 39.46079339668325 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 alpha beta) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) | |
| accuracy | 18.352073486580615 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
| 42.0ms | 179× | 0 | valid |
| 27.0ms | 52× | 1 | valid |
| 22.0ms | 25× | 2 | valid |
Compiled 540 to 75 computations (86.1% saved)
ival-div: 20.0ms (30.6% of total)ival-add: 15.0ms (22.9% of total)adjust: 14.0ms (21.4% of total)ival-sub: 9.0ms (13.8% of total)ival-mult: 7.0ms (10.7% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (patch (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 beta #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (patch (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.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)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.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) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 alpha beta) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.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))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | beta | @ | 0 | ((/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- 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) (- 2 (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta) (+ alpha beta) (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) (/ (+ 2 alpha) beta)) |
| 12.0ms | beta | @ | inf | ((/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- 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) (- 2 (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta) (+ alpha beta) (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) (/ (+ 2 alpha) beta)) |
| 7.0ms | alpha | @ | -inf | ((/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- 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) (- 2 (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta) (+ alpha beta) (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) (/ (+ 2 alpha) beta)) |
| 6.0ms | alpha | @ | inf | ((/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- 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) (- 2 (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta) (+ alpha beta) (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) (/ (+ 2 alpha) beta)) |
| 6.0ms | beta | @ | -inf | ((/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) (/ (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) 2) (+ (/ 1 (/ (- -2 (+ alpha beta)) (- alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- 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) (- 2 (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) beta) (+ alpha beta) (* (+ (* alpha -2) -2) (+ -1 (/ (+ 2 alpha) beta))) (/ (+ 2 alpha) beta)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 931 | 8985 |
| 1 | 3004 | 8302 |
| 0 | 8770 | 7831 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha)))))) |
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (+ 1 (* -1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))) |
(+ 1 (* -1 (/ alpha (+ 2 alpha)))) |
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ 1 (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(* -1 (/ (+ 2 alpha) alpha)) |
(+ (* -1 (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha))) |
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) alpha))))) |
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (+ (* -1 (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (* beta (+ (* -1 (/ (* beta (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow alpha 2))))) (pow alpha 2))) (* -1 (/ (- (/ 1 alpha) (* -1 (/ (+ 2 alpha) (pow 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 (- 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) |
(* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) (pow beta 2))) |
(/ (- (* beta (- (* -2 alpha) 2)) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
(/ (- (* beta (- (* 2 beta) (* -1 (- (* -2 alpha) 2)))) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
(/ (- (* beta (- (* 2 beta) (* -1 (- (* -2 alpha) 2)))) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(/ (* (+ 2 alpha) (- (* -2 alpha) 2)) (pow beta 2)) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) (pow beta 2)) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) beta) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) beta) |
(/ (+ (* -1 (* beta (- (* -2 alpha) 2))) (* (+ 2 alpha) (- (* -2 alpha) 2))) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))) |
2 |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 2 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))) |
(+ 2 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta)))) |
(+ 1 (+ (* -1 (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) (pow beta 3))) (* -1 (/ (- (* -1 (+ 2 alpha)) 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) |
2 |
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta))) |
(- (+ 2 (* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) (pow beta 2)))) (* -1 (/ (- (* -2 alpha) 2) beta))) |
(- (+ 2 (* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) (pow beta 2)))) (* -1 (/ (- (* -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 |
(+ 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 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) beta) |
(/ (+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) beta) |
(/ (+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* -1 (- (* -2 alpha) 2)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
1 |
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))) |
1 |
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (+ (* 1/2 (- alpha (* -1 (+ 2 alpha)))) (* 1/2 (/ (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))) beta))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta))) |
2 |
(+ 2 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))) |
(+ 2 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (+ 2 alpha)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (/ (* alpha (- (* -1 (+ 2 alpha)) alpha)) beta)) alpha) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ 2 alpha)) (* -1 (/ (- (* -1 (/ (* (pow alpha 2) (- (* -1 (+ 2 alpha)) alpha)) beta)) (* alpha (- (* -1 (+ 2 alpha)) alpha))) beta))) 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))) |
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) |
2 |
(+ 2 (* -1 (/ (- 2 (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) (* -2 alpha)) beta))) |
(+ 2 (* -1 (/ (- (+ 2 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) (* -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 (/ (- (* -2 alpha) 2) beta)) |
(* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta))) 2) beta)) |
(* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta))) 2) beta)) |
(* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta))) 2) beta)) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (- (* -2 alpha) 2)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(+ (* -1 (- (* -2 alpha) 2)) (/ (* (+ 2 alpha) (- (* -2 alpha) 2)) beta)) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ (+ 2 alpha) beta) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta))) |
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))) |
(/ (+ 2 beta) beta) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (pow beta 2))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))))) (* 2 (/ 1 beta)))) |
(+ 1 (+ (* alpha (+ (* 2 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) (* alpha (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 3))) (* alpha (+ (* 2 (/ 1 (pow beta 3))) (* 2 (/ 1 (pow beta 4))))))))))) (* 2 (/ 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 (/ 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) |
(- 2 (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) |
(- (+ 2 (* alpha (- (* 2 (/ 1 (pow beta 2))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) |
(- (+ 2 (* alpha (- (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ alpha (pow beta 2)))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) |
(- (+ 2 (* alpha (- (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ alpha (pow beta 2)))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))))) (* -2 (/ (- (* 2 (/ 1 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 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(* -2 (/ (- (* 2 (/ 1 beta)) 1) beta)) |
(+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* alpha (- (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))))) |
(+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) (* 2 (/ 1 (pow beta 2)))))) |
(+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* alpha (- (+ (* -2 (/ alpha (pow beta 2))) (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) (* 2 (/ 1 (pow beta 2)))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(* -2 (- (* 2 (/ 1 beta)) 1)) |
(+ (* -2 (- (* 2 (/ 1 beta)) 1)) (* alpha (- (* -2 (- (* 2 (/ 1 beta)) 1)) (* 2 (/ 1 beta))))) |
(+ (* -2 (- (* 2 (/ 1 beta)) 1)) (* alpha (- (+ (* -2 (- (* 2 (/ 1 beta)) 1)) (* -2 (/ alpha beta))) (* 2 (/ 1 beta))))) |
(+ (* -2 (- (* 2 (/ 1 beta)) 1)) (* alpha (- (+ (* -2 (- (* 2 (/ 1 beta)) 1)) (* -2 (/ alpha beta))) (* 2 (/ 1 beta))))) |
(/ 2 beta) |
(+ (* 2 (/ 1 beta)) (/ alpha beta)) |
(+ (* 2 (/ 1 beta)) (/ alpha beta)) |
(+ (* 2 (/ 1 beta)) (/ alpha beta)) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1) |
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha) |
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) alpha) |
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha) |
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha) (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))))) alpha) |
-1 |
(- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1) |
(- (+ (* -1 (/ (* beta (- (+ 2 beta) (* -1 beta))) (pow alpha 2))) (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha))) 1) |
(- (+ (* -1 (/ (* beta (- (+ 2 beta) (* -1 beta))) (pow alpha 2))) (+ (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) (pow alpha 3))) (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)))) 1) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* 1/2 (/ (+ 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))))) |
(* 2 (/ (pow alpha 2) (pow beta 2))) |
(* (pow alpha 2) (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow beta 2))) (/ 2 (* alpha (pow beta 2)))))) |
(* (pow alpha 2) (- (+ (* 2 (/ 1 (pow beta 2))) (/ 2 (pow alpha 2))) (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (* (pow alpha 2) beta))) (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))) alpha))))) |
(* (pow alpha 2) (- (+ (* 2 (/ 1 (pow beta 2))) (/ 2 (pow alpha 2))) (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (* (pow alpha 2) beta))) (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 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) |
(/ (+ 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) |
(* -2 (/ (pow alpha 2) (pow beta 2))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
(* (pow alpha 2) (- (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (* (pow alpha 2) beta))) (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))) alpha))) (* 2 (/ 1 (pow beta 2))))) |
(* (pow alpha 2) (- (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (* (pow alpha 2) beta))) (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))) alpha))) (* 2 (/ 1 (pow beta 2))))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* -2 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (pow alpha 2))) (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (* 2 (/ 1 beta))) alpha))) (* 2 (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -2 (/ (- (* 2 (/ 1 beta)) 1) (pow alpha 2))) (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (* 2 (/ 1 beta))) alpha))) (* 2 (/ 1 beta)))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha)) |
(/ (- beta (* -1 (+ 2 beta))) alpha) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha))) alpha)) |
-1 |
(- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha))) |
(- (* -1 (/ (+ (* -1 (- (* -1 (+ 2 beta)) beta)) (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) alpha))) alpha)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 (+ 2 beta)) beta)) (* -1 (/ (+ (* beta (- (* -1 (+ 2 beta)) beta)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) alpha)) alpha))) 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))))) |
(* 2 (/ (pow alpha 2) (pow beta 2))) |
(* (pow alpha 2) (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow beta 2))) (/ 2 (* alpha (pow beta 2)))))) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1 (/ (- 2 (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) alpha)) (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1 (/ (- 2 (* -2 (/ (- (* 2 (/ 1 beta)) 1) beta))) alpha)) (+ (* 2 (/ 1 (pow beta 2))) (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
(* -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)) |
(* -2 (/ (pow alpha 2) (pow beta 2))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ 1 (pow beta 2)))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ (- (* 2 (/ 1 beta)) 1) (* alpha beta))))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow beta 2))) (+ (* 2 (/ (- (* 2 (/ 1 beta)) 1) beta)) (* 2 (/ (- (* 2 (/ 1 beta)) 1) (* alpha beta))))) alpha)) (* 2 (/ 1 (pow beta 2))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -2 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (+ (* 2 (/ 1 beta)) (* 2 (/ (- (* 2 (/ 1 beta)) 1) alpha)))) alpha)) (* 2 (/ 1 beta)))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (- (* 2 (/ 1 beta)) 1)) (+ (* 2 (/ 1 beta)) (* 2 (/ (- (* 2 (/ 1 beta)) 1) alpha)))) alpha)) (* 2 (/ 1 beta)))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
(* alpha (+ (/ 1 beta) (* 2 (/ 1 (* alpha beta))))) |
| Outputs |
|---|
(/.f64 alpha (-.f64 #s(literal -2 binary64) 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 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(fma.f64 (fma.f64 beta (/.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))) (-.f64 #s(literal -2 binary64) alpha)) (+.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))) |
(fma.f64 (fma.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 (+.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 -2 binary64) alpha))) 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))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(*.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))))) |
(fma.f64 (fma.f64 (*.f64 beta #s(literal -1/2 binary64)) (/.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))) (+.f64 #s(literal 2 binary64) alpha)) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.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)))) (*.f64 #s(literal -1/2 binary64) (/.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))) (+.f64 #s(literal 2 binary64) alpha)))) 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 (fma.f64 #s(literal -1/2 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))) |
(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)))) |
(+.f64 (fma.f64 (fma.f64 beta (/.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))) (-.f64 #s(literal -2 binary64) alpha)) (+.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))) #s(literal 1 binary64)) |
(fma.f64 (fma.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 (+.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 -2 binary64) alpha))) 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)))) |
(/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) |
(fma.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) |
(fma.f64 (neg.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha))) alpha) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha))))) beta (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) |
(fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 beta (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha))) (*.f64 alpha alpha)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha))) alpha)) (fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 alpha alpha)))) beta (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(*.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))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.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)))) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(*.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))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.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)))) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) beta) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) beta) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) beta #s(literal -1/4 binary64)) beta #s(literal 1/2 binary64)) beta) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) beta #s(literal 1/8 binary64)) beta #s(literal -1/4 binary64)) beta #s(literal 1/2 binary64)) beta) |
#s(literal 2 binary64) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 #s(literal 2 binary64) beta) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) #s(literal 1/2 binary64) beta) beta) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(*.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))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.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)))) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (*.f64 beta beta))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (/.f64 (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)) beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)))) (*.f64 beta beta)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)))) (*.f64 beta beta)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(*.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))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.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)))) (*.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 (fma.f64 #s(literal -1/2 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))) |
(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)))) |
(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)))) |
(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 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) |
alpha |
(+.f64 beta alpha) |
(+.f64 beta alpha) |
(+.f64 beta alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) beta) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (fma.f64 #s(literal -1 binary64) beta (+.f64 #s(literal 2 binary64) alpha))) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 alpha beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (fma.f64 (*.f64 alpha alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) #s(literal 1 binary64)) |
#s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #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))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #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))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 4 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) |
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 8 binary64) (pow.f64 beta #s(literal 3 binary64)))) |
beta |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
#s(literal 1 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)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 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)) |
#s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #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))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
#s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #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))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (pow.f64 beta #s(literal 3 binary64)))) (*.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta) |
beta |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 (/.f64 alpha beta) beta beta) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (-.f64 #s(literal -2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.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)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 alpha (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta)) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) beta)) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 alpha (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (-.f64 #s(literal -2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (neg.f64 (fma.f64 (*.f64 alpha alpha) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) alpha))) beta)) alpha) beta)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.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)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.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)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) 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)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) 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 |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
(fma.f64 (/.f64 #s(literal 2 binary64) beta) beta beta) |
#s(literal 1 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)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.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)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
#s(literal 2 binary64) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta)) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta)) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) beta)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.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)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.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))) (neg.f64 beta))) beta)) |
#s(literal 2 binary64) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta) (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (-.f64 #s(literal -2 binary64) alpha) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) |
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) (neg.f64 beta)) |
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) (neg.f64 beta)) |
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))) (neg.f64 beta)) |
beta |
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta) |
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta) |
(fma.f64 (neg.f64 beta) (/.f64 (neg.f64 alpha) beta) beta) |
(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) beta) beta) |
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)) alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64)))) alpha (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) alpha (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta))) alpha (+.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal 1 binary64) beta)) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta) |
#s(literal -2 binary64) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta)) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) alpha (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta))) |
(fma.f64 (fma.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) alpha (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta))) |
(fma.f64 (fma.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) alpha (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta))) |
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 alpha #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
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beta |
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#s(literal -1 binary64) |
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#s(literal -1 binary64) |
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alpha |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
(fma.f64 (/.f64 beta alpha) alpha alpha) |
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(/.f64 alpha beta) |
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#s(literal -1 binary64) |
(-.f64 (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)) (neg.f64 alpha)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha)) (neg.f64 alpha)) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) beta) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) (neg.f64 alpha))) alpha)) (neg.f64 alpha)) |
#s(literal -1 binary64) |
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 beta (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) beta (*.f64 (*.f64 beta beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) alpha)) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (neg.f64 alpha) beta) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) alpha)) (neg.f64 alpha)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) alpha)) (neg.f64 alpha)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) alpha)) (neg.f64 alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(*.f64 (/.f64 alpha beta) #s(literal -2 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 2 binary64) beta)) (neg.f64 alpha)) |
(*.f64 #s(literal -2 binary64) alpha) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (neg.f64 alpha)) |
(*.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 alpha alpha) beta)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) (/.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 beta alpha) beta)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)))) (*.f64 alpha alpha)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 beta beta)))) alpha)) (*.f64 alpha alpha)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal -2 binary64) #s(literal 2 binary64)) beta)) alpha) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 beta beta)))) alpha)) (*.f64 alpha alpha)) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) |
(/.f64 (fma.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)) beta) #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha)) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 beta (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (neg.f64 alpha)) (*.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(*.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (*.f64 alpha alpha) beta)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 beta beta))) alpha) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (*.f64 alpha alpha)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) beta) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (neg.f64 alpha)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (*.f64 alpha alpha)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) beta) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) beta)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (neg.f64 alpha)) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (*.f64 alpha alpha)) |
alpha |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(*.f64 (/.f64 (*.f64 alpha alpha) beta) #s(literal -2 binary64)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))) alpha) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) |
(/.f64 alpha beta) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 251 |
| 0 | 60 | 251 |
| 1 | 316 | 245 |
| 2 | 2793 | 245 |
| 0 | 8716 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.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 #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)) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) |
#s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) |
(/.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) |
(+.f64 alpha beta) |
(*.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))) |
(/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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Compiled 31 718 to 3 356 computations (89.4% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 8 | 903 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 899 | 13 | 912 |
| Status | Accuracy | Program |
|---|---|---|
| 34.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| ✓ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ▶ | 44.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
| 31.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.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 #s(literal 1 binary64) beta)) alpha)) | |
| 31.8% | #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 #s(literal 1 binary64) beta)) alpha)) | |
| ▶ | 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 32.0% | #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)))) | |
| 40.8% | #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)))) | |
| ▶ | 39.7% | #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)))) |
| 41.2% | #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)))) | |
| ▶ | 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 38.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 659 to 480 computations (27.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) alpha) | |
| cost-diff | 0 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| cost-diff | 0 | (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 beta #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 213 |
| 0 | 50 | 209 |
| 1 | 81 | 209 |
| 2 | 111 | 209 |
| 3 | 170 | 209 |
| 4 | 236 | 209 |
| 5 | 459 | 209 |
| 6 | 801 | 209 |
| 7 | 1461 | 209 |
| 8 | 3184 | 209 |
| 9 | 4222 | 209 |
| 10 | 4670 | 209 |
| 11 | 4820 | 209 |
| 12 | 4872 | 209 |
| 13 | 4889 | 209 |
| 14 | 4999 | 209 |
| 15 | 5453 | 209 |
| 16 | 5569 | 209 |
| 17 | 5569 | 209 |
| 18 | 5569 | 209 |
| 19 | 5570 | 209 |
| 0 | 5570 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
beta |
(/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) |
#s(literal 1/2 binary64) |
(-.f64 beta #s(literal -2 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 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
#s(literal -1/2 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 |
|---|
#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)) |
beta |
(/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) |
#s(literal 1/2 binary64) |
(-.f64 beta #s(literal -2 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)) |
#s(literal 1 binary64) |
beta |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) |
alpha |
(-.f64 alpha #s(literal -2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 2 binary64) alpha) | |
| accuracy | 0.0078125 | (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) | |
| accuracy | 20.70087426608692 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) | |
| accuracy | 21.827121315473068 | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| accuracy | 42.85693605433833 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) 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 | 19.060367465565562 | #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 | 23.577733972739555 | #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 | 19.060367465565562 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 19.730341244169754 | #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (-.f64 beta #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) | |
| accuracy | 19.060367465565562 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 86.0ms | 38× | 2 | valid |
| 36.0ms | 163× | 0 | valid |
| 19.0ms | 55× | 1 | valid |
Compiled 369 to 74 computations (79.9% saved)
ival-div: 81.0ms (66.5% of total)ival-add: 19.0ms (15.6% of total)adjust: 9.0ms (7.4% of total)ival-mult: 9.0ms (7.4% of total)ival-sub: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
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#s(alt #<batchref> (patch (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 beta #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (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 #<batchref> (patch #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (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 #<batchref> (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 #<batchref> (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 #<batchref> (patch (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf alpha) (#s(alt #<batchref> (patch (+.f64 #s(literal 2 binary64) alpha) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (- beta -2))) 1/2) (/ 1/2 (- beta -2)) (- beta -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) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha)) |
| 1.0ms | beta | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (- beta -2))) 1/2) (/ 1/2 (- beta -2)) (- beta -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) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha)) |
| 1.0ms | beta | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (- beta -2))) 1/2) (/ 1/2 (- beta -2)) (- beta -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) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha)) |
| 1.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (- beta -2))) 1/2) (/ 1/2 (- beta -2)) (- beta -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) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha)) |
| 1.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* beta (/ 1/2 (- beta -2))) 1/2) (/ 1/2 (- beta -2)) (- beta -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) (/ (+ 1 beta) alpha) (+ 1 beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (+ 2 alpha)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 4817 |
| 1 | 1070 | 4544 |
| 2 | 3028 | 4400 |
| 0 | 8293 | 4036 |
| 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 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(+ 1/4 (* beta (- (* beta (+ 1/16 (* -1/32 beta))) 1/8))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 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))))))))) |
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 |
(+ 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))))) |
(/ 1/2 beta) |
(/ (- 1/2 (/ 1 beta)) beta) |
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (/ 1 beta)) beta) |
(/ (- (+ 1/2 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 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)))))) |
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)))))) |
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))) |
(/ 1/2 beta) |
(* -1 (/ (- (/ 1 beta) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta)) 1/2) beta)) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 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))) |
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))) |
(* 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)))))))))) |
(* 1/2 (+ 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 (/ 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 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
2 |
(+ 2 alpha) |
(+ 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) |
(* 1/2 (/ (+ 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) |
(* 1/2 (/ (+ 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 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
alpha |
(* 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)) |
(* -1/2 (/ (- (* -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) |
(* -1/2 (/ (- (* -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 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
| Outputs |
|---|
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) beta #s(literal 1/16 binary64)) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 #s(literal 2 binary64) beta) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 #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 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) alpha) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 #s(literal 1 binary64) beta) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1 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)) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta beta)) #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))) |
(fma.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 (+.f64 #s(literal 2 binary64) alpha) (-.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta beta))) #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))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) beta)) |
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(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal 2 binary64)) alpha)) alpha) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal 2 binary64)) alpha)) |
alpha |
(+.f64 #s(literal 2 binary64) alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
(+.f64 #s(literal 2 binary64) alpha) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 198 |
| 0 | 50 | 194 |
| 1 | 253 | 194 |
| 2 | 1846 | 194 |
| 0 | 8066 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) |
(-.f64 beta #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 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(+.f64 #s(literal 1 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64)) |
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) |
(+.f64 #s(literal 2 binary64) alpha) |
| Outputs |
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Compiled 18 818 to 1 599 computations (91.5% saved)
19 alts after pruning (12 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 553 | 9 | 562 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 556 | 19 | 575 |
| Status | Accuracy | Program |
|---|---|---|
| 34.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| ✓ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 40.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) | |
| 41.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 44.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| 31.8% | #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 #s(literal 1 binary64) beta)) alpha)) | |
| ✓ | 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 26.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) | |
| ▶ | 10.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| ▶ | 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
| ▶ | 32.0% | #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)))) |
| ✓ | 39.7% | #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)))) |
| ✓ | 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ▶ | 42.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 25.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 26.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) | |
| ✓ | 38.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 822 to 601 computations (26.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) | |
| cost-diff | 320 | (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) | |
| cost-diff | 0 | (/.f64 beta alpha) | |
| cost-diff | 0 | #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| cost-diff | 0 | #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -1/2 (/ 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 (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 244 |
| 0 | 53 | 244 |
| 1 | 88 | 234 |
| 2 | 133 | 234 |
| 3 | 209 | 232 |
| 4 | 343 | 230 |
| 5 | 716 | 230 |
| 6 | 1352 | 230 |
| 7 | 2498 | 230 |
| 8 | 4724 | 230 |
| 9 | 6289 | 230 |
| 10 | 7483 | 230 |
| 0 | 8333 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
beta |
(/.f64 #s(literal 1 binary64) alpha) |
alpha |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (+ (* -1/2 (/ 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) (fma.f64 #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
beta |
alpha |
#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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) beta) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha) |
(-.f64 beta #s(literal -1 binary64)) |
#s(literal 1 binary64) |
beta |
(/.f64 #s(literal 1 binary64) alpha) |
alpha |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0 | #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) | |
| accuracy | 0.08984375 | (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) | |
| accuracy | 42.85693605433833 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) beta) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) | |
| accuracy | 19.180582881909515 | #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) | |
| accuracy | 43.72959964498221 | #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)))) | |
| accuracy | 0 | (/.f64 beta alpha) | |
| accuracy | 39.625423018762 | #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) | |
| accuracy | 42.85693605433833 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) | |
| accuracy | 20.70087426608692 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 21.827121315473068 | (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 39.21719788215709 | #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) | |
| accuracy | 20.70087426608692 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) | |
| accuracy | 23.13174806414039 | #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
| 60.0ms | 38× | 2 | valid |
| 51.0ms | 163× | 0 | valid |
| 22.0ms | 55× | 1 | valid |
Compiled 397 to 80 computations (79.8% saved)
adjust: 48.0ms (47.8% of total)ival-add: 21.0ms (20.9% of total)ival-div: 18.0ms (17.9% of total)ival-mult: 9.0ms (9% of total)ival-sub: 4.0ms (4% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 beta alpha) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 beta alpha) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 beta) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) beta) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf beta) (#s(alt #<batchref> (patch #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | alpha | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 beta) (/ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta)) |
| 4.0ms | beta | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 beta) (/ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta)) |
| 2.0ms | alpha | @ | -inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 beta) (/ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta)) |
| 1.0ms | alpha | @ | inf | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 beta) (/ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta)) |
| 1.0ms | beta | @ | 0 | ((/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (+ (* -1/4 alpha) 1/2) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/ alpha (+ 2 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (/ beta alpha) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (* (+ 1 beta) (/ 1 alpha)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 5022 |
| 1 | 907 | 4761 |
| 2 | 2667 | 4626 |
| 0 | 8377 | 4295 |
| 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 (/ (- (* -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 beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 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 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
1 |
(+ 1 beta) |
(+ 1 beta) |
(+ 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)))))) |
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 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* 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)))))) |
(/ 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))) |
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 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ 1 beta) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 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))) |
(/ 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))) |
(* 1/2 (+ 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)))))))))) |
1/2 |
(+ 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 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)))) |
(* 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 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ 1 alpha) |
(/ (- 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 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 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
(* 1/2 (/ (+ 2 (* 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 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) 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 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 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 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) 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 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) 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 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
| Outputs |
|---|
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(*.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)) |
(*.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))))) |
(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 (fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
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(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) alpha) beta) (/.f64 #s(literal 1 binary64) beta)) alpha #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (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 (fma.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (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 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) alpha) #s(literal 1 binary64)) alpha) |
(*.f64 #s(literal -1/4 binary64) alpha) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) #s(literal -1 binary64) #s(literal -1/4 binary64)) alpha) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) #s(literal -1 binary64) #s(literal -1/4 binary64)) alpha) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) alpha) #s(literal -1 binary64) #s(literal -1/4 binary64)) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) alpha) #s(literal 1 binary64)) alpha) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) |
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64)) alpha)) alpha) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (neg.f64 alpha) beta) |
(fma.f64 (/.f64 (/.f64 (-.f64 beta #s(literal 1 binary64)) beta) alpha) alpha (/.f64 (neg.f64 alpha) beta)) |
(fma.f64 (/.f64 (/.f64 (-.f64 beta #s(literal 1 binary64)) beta) alpha) alpha (/.f64 (neg.f64 alpha) beta)) |
(fma.f64 (/.f64 (/.f64 (-.f64 beta #s(literal 1 binary64)) beta) alpha) alpha (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta)) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) beta) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)) beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 228 |
| 0 | 53 | 222 |
| 1 | 265 | 218 |
| 2 | 2082 | 218 |
| 0 | 8490 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
#s(approx (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha)) |
(/.f64 beta alpha) |
#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 (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) |
(/.f64 #s(literal 1 binary64) beta) |
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) beta) |
| Outputs |
|---|
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Compiled 19 890 to 1 404 computations (92.9% saved)
19 alts after pruning (7 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 573 | 1 | 574 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 574 | 19 | 593 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 70.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 40.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) | |
| 41.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) | |
| ✓ | 44.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
| 31.8% | #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 #s(literal 1 binary64) beta)) alpha)) | |
| ✓ | 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
| 26.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) | |
| ✓ | 10.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| ✓ | 33.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
| 31.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) | |
| ✓ | 32.0% | #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)))) |
| ✓ | 39.7% | #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)))) |
| ✓ | 45.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 42.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))) |
| 25.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha))) | |
| 26.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) | |
| ✓ | 38.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 1 224 to 521 computations (57.4% 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) 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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ 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)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
#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 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(approx (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (-.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))) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.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 #s(literal 1 binary64) beta)) 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 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
5 calls:
| 44.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 22.0ms | alpha |
| 8.0ms | beta |
| 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 |
|---|---|---|
| 94.6% | 2 | alpha |
| 71.3% | 1 | beta |
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) 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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ 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)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
#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 #s(literal 1 binary64) beta)) 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 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 31.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) 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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ 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)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ alpha (+ 2 alpha))) 1/2) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
3 calls:
| 28.0ms | (/.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)) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.5% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.5% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) 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))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* -1/2 (/ 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
3 calls:
| 18.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.2% | 2 | (/.f64 (-.f64 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #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) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
3 calls:
| 17.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.5% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.5% | 3 | (/.f64 (-.f64 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta #s(approx (/ 1/2 (- beta -2)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) beta #s(literal -1/8 binary64)) beta #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 (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 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 #s(literal 1 binary64) beta) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) beta #s(literal 1/4 binary64)) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))) |
3 calls:
| 28.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 (+ 1 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)))) |
4 calls:
| 4.0ms | alpha |
| 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 |
|---|---|---|
| 69.5% | 3 | alpha |
| 92.1% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 92.1% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 92.1% | 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta 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 (+ 1 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(literal 1 binary64)) |
3 calls:
| 10.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 91.9% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.9% | 3 | (/.f64 (-.f64 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 beta) #s(literal 1 binary64)) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ 1 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 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 91.8% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.8% | 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ beta (- beta -2)) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 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 |
|---|---|---|
| 74.7% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 74.7% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 74.7% | 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 (+ (* -1/2 (/ 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) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ alpha (+ 2 alpha)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta #s(approx (/ 1/2 (- beta -2)) #s(literal 1/4 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:
| 19.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 2 | beta |
| 68.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 68.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 68.9% | 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 (+ (* -1/2 (/ 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:
| 2.0ms | beta |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 68.7% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 68.7% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 68.7% | 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 | beta |
| 1.0ms | alpha |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | alpha |
| 38.3% | 1 | beta |
| 38.3% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 38.3% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 38.3% | 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 | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999983403 | -0.9999999839232893 |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999839232893 | -0.06645870873415825 |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011042844245374066 | 0.9826532851326041 |
| 0.0ms | -0.9999999999999157 | -0.9999999999988363 |
Compiled 16 to 16 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.022332300608003185 | 113.29560584172128 |
| 4.0ms | 81× | 0 | valid |
| 4.0ms | 34× | 1 | valid |
| 2.0ms | 13× | 2 | valid |
Compiled 360 to 295 computations (18.1% saved)
ival-div: 2.0ms (27% of total)ival-add: 2.0ms (27% of total)adjust: 1.0ms (13.5% of total)ival-sub: 1.0ms (13.5% 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 | 0.011042844245374066 | 0.9826532851326041 |
Compiled 16 to 16 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1025 |
| 1 | 129 | 1025 |
| 2 | 149 | 1025 |
| 3 | 163 | 1025 |
| 4 | 172 | 1025 |
| 1× | saturated |
| Inputs |
|---|
(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 (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 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #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 (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 #s(literal 1 binary64) beta)) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199164668999/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 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 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -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 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) beta) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 -9007199254731985/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 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 (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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007199164668999/9007199254740992 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 #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 beta (/.f64 #s(literal 1/2 binary64) (-.f64 beta #s(literal -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)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) beta) #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 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 (+ 1 beta) #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 -9007199254731985/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/288230376151711744 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 | 37 | 251 |
| 0 | 60 | 251 |
| 1 | 316 | 245 |
| 2 | 2793 | 245 |
| 0 | 8716 | 245 |
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4567 | 2155 |
| 0 | 8647 | 2014 |
| 0 | 348 | 4817 |
| 1 | 1070 | 4544 |
| 2 | 3028 | 4400 |
| 0 | 8293 | 4036 |
| 0 | 295 | 5022 |
| 1 | 907 | 4761 |
| 2 | 2667 | 4626 |
| 0 | 8377 | 4295 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 0 | 931 | 8985 |
| 1 | 3004 | 8302 |
| 0 | 8770 | 7831 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 308 to 390 computations (70.2% saved)
Compiled 2 076 to 246 computations (88.2% saved)
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