
Time bar (total: 14.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 11 |
| 46.9% | 46.8% | 53% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 26 to 19 computations (26.9% saved)
| 1.5s | 8 256× | 0 | valid |
ival-cos: 463.0ms (38.8% of total)ival-mult: 319.0ms (26.7% of total)ival-pow2: 121.0ms (10.1% of total)ival-sqrt: 118.0ms (9.9% of total)ival-div: 112.0ms (9.4% of total)ival-add: 39.0ms (3.3% of total)exact: 13.0ms (1.1% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| 1× | egg-herbie |
| 1 014× | neg-mul-1 |
| 984× | distribute-lft-neg-in |
| 852× | lower-*.f32 |
| 842× | lower-*.f64 |
| 842× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 228 |
| 1 | 182 | 216 |
| 2 | 603 | 216 |
| 3 | 2240 | 216 |
| 4 | 4090 | 216 |
| 5 | 6770 | 216 |
| 0 | 17 | 24 |
| 0 | 28 | 24 |
| 1 | 44 | 24 |
| 2 | 87 | 24 |
| 3 | 211 | 24 |
| 4 | 609 | 24 |
| 5 | 1121 | 24 |
| 6 | 1532 | 24 |
| 7 | 1595 | 24 |
| 8 | 1612 | 24 |
| 9 | 1623 | 24 |
| 10 | 1625 | 24 |
| 11 | 1625 | 24 |
| 12 | 1625 | 24 |
| 0 | 1625 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(abs U)
(abs K)
(negabs J)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 44 | 0 | - | 0 | - | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 36 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | K |
| 0 | 0 | - | 0 | - | (/.f64 K #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 128 | (9.241309702703893e+183 3.1633566468832894e+68 3.467746581562221e-265) | 0 | - | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) J) |
| 0 | 0 | - | 0 | - | U |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | J |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) J) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (/.f64 K #s(literal 2 binary64))) | sensitivity | 128 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) | oflow-rescue | 44 | 0 |
| ↳ | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) | overflow | 36 | |
| ↳ | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | overflow | 36 | |
| ↳ | (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) | overflow | 80 | |
| ↳ | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | overflow | 80 | |
*.f64 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | n*o | 36 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 80 | 0 |
| - | 80 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 80 | 0 | 0 |
| - | 80 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 112 |
| 2 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 113.0ms | 512× | 0 | valid |
Compiled 278 to 72 computations (74.1% saved)
ival-mult: 47.0ms (60.5% of total)ival-cos: 12.0ms (15.4% of total)ival-div: 7.0ms (9% of total)ival-pow2: 5.0ms (6.4% of total)ival-sqrt: 4.0ms (5.1% of total)ival-add: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 852× | lower-*.f32 |
| 842× | lower-*.f64 |
| 786× | associate-*r/ |
| 758× | lower-/.f32 |
| 754× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 110 |
| 0 | 28 | 110 |
| 1 | 44 | 110 |
| 2 | 87 | 110 |
| 3 | 211 | 110 |
| 4 | 609 | 110 |
| 5 | 1121 | 110 |
| 6 | 1532 | 110 |
| 7 | 1595 | 110 |
| 8 | 1612 | 110 |
| 9 | 1623 | 110 |
| 10 | 1625 | 110 |
| 11 | 1625 | 110 |
| 12 | 1625 | 110 |
| 0 | 1625 | 110 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) J) |
(*.f64 J #s(literal 2 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 35.0ms | 256× | 0 | valid |
Compiled 112 to 19 computations (83% saved)
ival-mult: 8.0ms (35.5% of total)ival-cos: 6.0ms (26.6% of total)ival-div: 3.0ms (13.3% of total)ival-sqrt: 2.0ms (8.9% of total)ival-pow2: 2.0ms (8.9% of total)ival-add: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 U) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | U | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 4.0ms | K | @ | 0 | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 4.0ms | K | @ | inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 3.0ms | J | @ | 0 | (* -2 J) |
| 2.0ms | K | @ | -inf | (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 1× | egg-herbie |
| 19 354× | lower-fma.f64 |
| 19 354× | lower-fma.f32 |
| 6 716× | lower-*.f64 |
| 6 716× | lower-*.f32 |
| 4 982× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 3717 |
| 1 | 1153 | 3609 |
| 2 | 4514 | 3477 |
| 0 | 8499 | 3319 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
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(* -1 U) |
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U |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 U U) K) K)) (*.f64 J J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 K K)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 U (*.f64 U (/.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))) (*.f64 K K)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
| 1× | batch-egg-rewrite |
| 3 552× | lower-*.f32 |
| 3 542× | lower-*.f64 |
| 3 418× | lower-fma.f64 |
| 3 418× | lower-fma.f32 |
| 2 050× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 66 |
| 0 | 28 | 66 |
| 1 | 79 | 66 |
| 2 | 432 | 66 |
| 3 | 4364 | 66 |
| 0 | 8129 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (neg.f64 U) #s(literal 2 binary64)) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))) |
(*.f64 (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) |
(*.f64 (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J) (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J)) |
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U)) |
(*.f64 (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J)) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (neg.f64 U)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))) |
Compiled 16 532 to 1 763 computations (89.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 465 | 14 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 466 | 14 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 24.7% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| 36.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) | |
| ▶ | 70.4% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 62.1% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) | |
| ▶ | 67.8% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
| 70.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) | |
| ▶ | 10.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
| ▶ | 48.8% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| 59.4% | (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) | |
| 45.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 33.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) | |
| 13.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) | |
| 47.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) | |
| ▶ | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Compiled 812 to 514 computations (36.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 384 | (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | cost-diff | 640 | (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 640 | (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 U) |
| ✓ | cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| ✓ | cost-diff | 0 | (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 K #s(literal 2 binary64)) |
| 8 056× | lower-fma.f32 |
| 8 054× | lower-fma.f64 |
| 5 014× | lower-*.f32 |
| 4 974× | lower-*.f64 |
| 1 918× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 576 |
| 0 | 104 | 572 |
| 1 | 188 | 556 |
| 2 | 435 | 520 |
| 3 | 1005 | 520 |
| 4 | 3603 | 520 |
| 5 | 3783 | 520 |
| 6 | 4345 | 520 |
| 7 | 6480 | 520 |
| 8 | 7264 | 520 |
| 9 | 7763 | 520 |
| 0 | 8002 | 511 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(*.f64 U U) |
U |
(*.f64 J J) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 U #s(literal -1/2 binary64)) |
U |
#s(literal -1/2 binary64) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) |
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
U |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
(*.f64 J #s(literal 2 binary64)) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) |
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) J) |
(*.f64 J #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
U |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(*.f64 U (/.f64 U (*.f64 J J))) |
(*.f64 U U) |
U |
(*.f64 J J) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 U #s(literal -1/2 binary64)) |
U |
#s(literal -1/2 binary64) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) K) |
(*.f64 K #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) |
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) |
(fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) |
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) |
U |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
(*.f64 J #s(literal 2 binary64)) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
(fma.f64 J (cos.f64 K) J) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))) |
(cos.f64 K) |
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) |
K |
(*.f64 K #s(literal 1/2 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 94.8% | (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
| ✓ | accuracy | 15.5% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 84.3% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
| ✓ | accuracy | 78.0% | (/.f64 (*.f64 U U) (*.f64 J J)) |
| ✓ | accuracy | 100.0% | (neg.f64 U) |
| ✓ | accuracy | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| ✓ | accuracy | 99.8% | (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
| 133.0ms | 256× | 0 | valid |
Compiled 531 to 51 computations (90.4% saved)
ival-cos: 34.0ms (37.7% of total)ival-mult: 30.0ms (33.3% of total)ival-div: 9.0ms (10% of total)ival-sqrt: 7.0ms (7.8% of total)ival-add: 5.0ms (5.5% of total)ival-pow2: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (patch (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) (patch (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 U U) (*.f64 J J)) (patch (/.f64 (*.f64 U U) (*.f64 J J)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #<representation binary64>) () ()) |
#s(alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (patch (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor 0 K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 K) (taylor -inf K) (#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 U) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) (taylor inf J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) (taylor inf J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) (taylor inf J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | J | @ | inf | (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) |
| 3.0ms | J | @ | inf | (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) |
| 1.0ms | U | @ | 0 | (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) |
| 1.0ms | J | @ | 0 | (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) |
| 1.0ms | U | @ | inf | (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) |
| 1× | egg-herbie |
| 11 390× | lower-fma.f64 |
| 11 390× | lower-fma.f32 |
| 8 646× | lower-*.f64 |
| 8 646× | lower-*.f32 |
| 3 666× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 661 | 16225 |
| 1 | 2146 | 15748 |
| 0 | 8166 | 14838 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 J) |
(+ (* -1/2 (* J (pow K 2))) (* 2 J)) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) |
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
K |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
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1 |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))) |
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J) |
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))) |
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))) |
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
1 |
(+ 1 (* -1/4 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
(+ 1/2 (* 1/2 (cos K))) |
| Outputs |
|---|
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* 1/2 K) |
(*.f64 #s(literal 1/2 binary64) K) |
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
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U |
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U |
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U |
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U |
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K |
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(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) |
(fma.f64 U (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1/512 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))) |
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))) |
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)))))) |
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(*.f64 U (fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64))))))) |
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)))))) |
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) |
(*.f64 (neg.f64 U) (fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow K 2))) |
(fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos K))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
| 1× | batch-egg-rewrite |
| 8 800× | lower-fma.f32 |
| 8 798× | lower-fma.f64 |
| 3 980× | lower-*.f32 |
| 3 942× | lower-*.f64 |
| 3 890× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 366 |
| 0 | 104 | 356 |
| 1 | 298 | 318 |
| 2 | 1793 | 312 |
| 0 | 8606 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 K #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(neg.f64 U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) |
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 K #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 K #s(literal -1/2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K)))) |
(/.f64 (neg.f64 K) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K))) |
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64)) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 K) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 K #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1/2 binary64))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))) |
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
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(fma.f64 (cos.f64 K) J J) |
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K |
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))))))) |
(*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))) |
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) |
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 K)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 K) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 K))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) |
(/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 K)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 K)))))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) |
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
Compiled 53 343 to 3 809 computations (92.9% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 630 | 28 | 1 658 |
| Fresh | 9 | 0 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 643 | 29 | 1 672 |
| Status | Accuracy | Program |
|---|---|---|
| 21.4% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 28.8% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 48.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 21.5% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| ▶ | 70.4% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 67.8% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) | |
| 70.3% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) | |
| 10.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| ▶ | 2.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
| 59.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) | |
| 46.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) | |
| 27.3% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) | |
| 27.9% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) | |
| 59.4% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| ▶ | 10.7% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
| 54.7% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) | |
| 29.5% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| ▶ | 33.5% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| 45.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 13.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) | |
| 47.3% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) | |
| ▶ | 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
| 18.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) | |
| 18.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) | |
| 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) | |
| 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) | |
| 18.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) | |
| ✓ | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 55.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
Compiled 1 346 to 874 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 K #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
| ✓ | cost-diff | 0 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (neg.f64 U) |
| ✓ | cost-diff | 0 | (*.f64 U (neg.f64 U)) |
| ✓ | cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 U (neg.f64 U)) U) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 4 520× | lower-*.f32 |
| 4 480× | lower-*.f64 |
| 2 424× | lower-fma.f32 |
| 2 420× | lower-fma.f64 |
| 1 696× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 561 |
| 0 | 102 | 565 |
| 1 | 180 | 565 |
| 2 | 368 | 553 |
| 3 | 753 | 553 |
| 4 | 1536 | 553 |
| 5 | 3120 | 553 |
| 6 | 3772 | 553 |
| 7 | 6265 | 553 |
| 0 | 8620 | 553 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
(/.f64 (*.f64 U (neg.f64 U)) U) |
(*.f64 U (neg.f64 U)) |
U |
(neg.f64 U) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(*.f64 U U) |
U |
(*.f64 J J) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))) |
(*.f64 U #s(literal -1/2 binary64)) |
U |
#s(literal -1/2 binary64) |
#s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) |
(fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) |
(*.f64 (*.f64 K K) #s(literal -1/8 binary64)) |
(*.f64 K K) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
U |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J #s(literal -2 binary64)) |
J |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
U |
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) J) |
(*.f64 J #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(/.f64 (*.f64 U (neg.f64 U)) U) |
(neg.f64 U) |
(*.f64 U (neg.f64 U)) |
(neg.f64 (*.f64 U U)) |
U |
(neg.f64 U) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64))))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) |
(fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(*.f64 U U) |
U |
(*.f64 J J) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 J (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J)))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J))) |
(*.f64 U #s(literal -1/2 binary64)) |
U |
#s(literal -1/2 binary64) |
#s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) |
#s(approx (* J (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J)) |
(fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J) |
(*.f64 (*.f64 K K) #s(literal -1/8 binary64)) |
(*.f64 K (*.f64 K #s(literal -1/8 binary64))) |
(*.f64 K K) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
U |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J #s(literal -2 binary64)) |
J |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
| ✓ | accuracy | 15.5% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
| ✓ | accuracy | 90.4% | (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
| ✓ | accuracy | 51.0% | #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) |
| ✓ | accuracy | 15.5% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) |
| ✓ | accuracy | 84.3% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
| ✓ | accuracy | 78.0% | (/.f64 (*.f64 U U) (*.f64 J J)) |
| ✓ | accuracy | 55.8% | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 100.0% | (*.f64 U (neg.f64 U)) |
| ✓ | accuracy | 100.0% | (neg.f64 U) |
| ✓ | accuracy | 52.4% | (/.f64 (*.f64 U (neg.f64 U)) U) |
| ✓ | accuracy | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
| ✓ | accuracy | 99.8% | (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
| 127.0ms | 256× | 0 | valid |
Compiled 436 to 56 computations (87.2% saved)
ival-mult: 38.0ms (39.5% of total)ival-cos: 30.0ms (31.2% of total)ival-div: 11.0ms (11.4% of total)ival-add: 5.0ms (5.2% of total)ival-sqrt: 5.0ms (5.2% of total)ival-pow2: 5.0ms (5.2% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 U (neg.f64 U)) U) (patch (/.f64 (*.f64 U (neg.f64 U)) U) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) #<representation binary64>) () ()) |
#s(alt (*.f64 U (neg.f64 U)) (patch (*.f64 U (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (patch (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (patch #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 K #s(literal 1/2 binary64)) (patch (*.f64 K #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 U U) (*.f64 J J)) (patch (/.f64 (*.f64 U U) (*.f64 J J)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) (patch #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) #<representation binary64>) () ()) |
#s(alt (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) (patch (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 U) (taylor 0 J) (#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | K | @ | 0 | (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 1.0ms | J | @ | 0 | (+ (* J (* (* K K) -1/8)) J) |
| 1.0ms | J | @ | inf | (+ (* J (* (* K K) -1/8)) J) |
| 0.0ms | K | @ | inf | (+ (* J (* (* K K) -1/8)) J) |
| 0.0ms | U | @ | inf | (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) |
| 1× | egg-herbie |
| 10 438× | lower-fma.f64 |
| 10 438× | lower-fma.f32 |
| 7 256× | lower-*.f64 |
| 7 256× | lower-*.f32 |
| 3 132× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 539 | 16881 |
| 1 | 1709 | 16420 |
| 2 | 6439 | 15900 |
| 0 | 8132 | 15081 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
J |
(+ J (* -1/8 (* J (pow K 2)))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
(* J (cos (* 1/2 K))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 (pow U 2)) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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U |
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
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(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
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(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(* -1 U) |
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 J) |
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(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
1 |
(+ 1 (* -1/8 (pow K 2))) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -1/16 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
(* 1/2 K) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
| Outputs |
|---|
(* -1 U) |
(neg.f64 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))) U) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(-.f64 (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(*.f64 J (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) (neg.f64 J)) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(*.f64 J (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 K K) (fma.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) #s(literal 1/384 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64))))) (fma.f64 J (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) J)))) (*.f64 K K) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 K K)) (fma.f64 K (*.f64 K (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal -1/46080 binary64))))) (fma.f64 J (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) #s(literal 1/384 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64)))))) (fma.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J (*.f64 J J)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(* -1 U) |
(neg.f64 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
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U |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 J) |
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(fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 #s(literal 1/23040 binary64) (*.f64 K K) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J)) |
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
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(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
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(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
J |
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(fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) |
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(fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) J) |
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 J #s(literal -1/8 binary64))) J) |
(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* J (cos (* 1/2 K))) |
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(* J (cos (* 1/2 K))) |
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(* -1 U) |
(neg.f64 U) |
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(neg.f64 U) |
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(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
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(neg.f64 U) |
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(neg.f64 U) |
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(neg.f64 U) |
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(neg.f64 U) |
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(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
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(neg.f64 U) |
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(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))) U) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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U |
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(* -1 U) |
(neg.f64 U) |
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
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(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
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U |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 J) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow K 2))) |
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) |
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(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos (* 1/2 K)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) |
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U |
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 K K)) (/.f64 (*.f64 U U) (*.f64 J J))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(fma.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))) (*.f64 K K)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(+ (* -2 J) (* 1/4 (* J (pow K 2)))) |
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))) |
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))) |
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 #s(literal -2 binary64) J)) |
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 #s(literal 1/23040 binary64) (*.f64 K K) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
| 1× | batch-egg-rewrite |
| 7 542× | lower-fma.f32 |
| 7 538× | lower-fma.f64 |
| 5 224× | lower-*.f32 |
| 5 184× | lower-*.f64 |
| 3 094× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 429 |
| 0 | 102 | 433 |
| 1 | 302 | 425 |
| 2 | 1293 | 413 |
| 0 | 8373 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(/.f64 (*.f64 U (neg.f64 U)) U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
(*.f64 U (neg.f64 U)) |
(neg.f64 U) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) |
(*.f64 K #s(literal 1/2 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))) |
#s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)) |
(fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))))) |
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))))))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal 1 binary64)) (*.f64 J (*.f64 J J)))) (neg.f64 (fma.f64 J J (*.f64 (*.f64 K (*.f64 (*.f64 K #s(literal -1/8 binary64)) J)) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -1 binary64)))) (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64) (neg.f64 (neg.f64 J)))) |
(/.f64 (*.f64 J (-.f64 J (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J))) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (*.f64 (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)) (*.f64 J J))) (*.f64 (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal 1 binary64)) (*.f64 J (*.f64 J J))))) (neg.f64 (neg.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -1 binary64))))) (neg.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64) (neg.f64 (neg.f64 J))))) |
(/.f64 (neg.f64 (*.f64 J (-.f64 J (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J)))) (neg.f64 (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (fma.f64 (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)))) (*.f64 (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))))) (+.f64 (/.f64 (*.f64 (*.f64 J J) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)))) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 (*.f64 K #s(literal -1/8 binary64)) J) J)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 (*.f64 K #s(literal -1/8 binary64)) J) J)) |
(*.f64 (*.f64 (fma.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal 1 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal 1 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 J J (*.f64 (*.f64 K (*.f64 (*.f64 K #s(literal -1/8 binary64)) J)) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)))))) |
(*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (neg.f64 J)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal 1 binary64)) (*.f64 J (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64)))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64) (neg.f64 (neg.f64 J))))) |
(*.f64 (*.f64 J (-.f64 J (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 K K))) J))) (/.f64 #s(literal 1 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/8 binary64))))) |
(*.f64 (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) J) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 J (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))) |
(*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) |
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 J)) |
(*.f64 (neg.f64 (neg.f64 J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))) #s(literal -2 binary64)) |
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) J) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) J) |
(*.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) |
Compiled 43 334 to 3 046 computations (93% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 435 | 14 | 1 449 |
| Fresh | 11 | 12 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 448 | 30 | 1 478 |
| Status | Accuracy | Program |
|---|---|---|
| 21.4% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 28.8% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 36.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 48.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 21.5% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 10.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) | |
| ✓ | 70.4% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
| 67.8% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) | |
| ▶ | 70.3% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
| 48.8% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| ▶ | 59.4% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
| 46.6% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) | |
| 59.4% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| 4.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) | |
| 29.5% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| ✓ | 33.5% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| 27.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) | |
| 32.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) | |
| 10.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) | |
| ▶ | 9.1% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
| ▶ | 28.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
| ▶ | 9.3% | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
| 47.3% | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) | |
| 45.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 13.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) | |
| ✓ | 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
| 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) | |
| 42.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) | |
| ✓ | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 55.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
Compiled 1 379 to 875 computations (36.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 U) |
| ✓ | cost-diff | 0 | #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 U J) U) J) |
| ✓ | cost-diff | 0 | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
| ✓ | cost-diff | 320 | (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
| ✓ | cost-diff | 0 | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) |
| ✓ | cost-diff | 0 | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 512 | (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) |
| 13 488× | lower-fma.f32 |
| 13 482× | lower-fma.f64 |
| 3 638× | lower-*.f32 |
| 3 600× | lower-*.f64 |
| 3 094× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 710 |
| 0 | 116 | 698 |
| 1 | 204 | 681 |
| 2 | 427 | 681 |
| 3 | 1067 | 681 |
| 4 | 2568 | 667 |
| 5 | 5115 | 667 |
| 6 | 6941 | 667 |
| 0 | 8221 | 659 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(/.f64 U J) |
U |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
(*.f64 #s(literal 2 binary64) J) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos.f64 K) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
U |
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) |
(/.f64 #s(literal 1/2 binary64) J) |
#s(literal 1/2 binary64) |
(/.f64 J (*.f64 U U)) |
(*.f64 U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 (/.f64 U J) U) J) |
(*.f64 (/.f64 U J) U) |
(/.f64 U J) |
U |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) |
(*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
(neg.f64 U) |
U |
(fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 #s(literal 1/2 binary64) K) |
#s(literal 1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 J (*.f64 U U)) |
J |
(*.f64 U U) |
(/.f64 #s(literal 1/2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
J |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 K #s(literal 1/2 binary64)) |
K |
#s(literal 1/2 binary64) |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) |
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) |
(fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) |
(/.f64 U J) |
U |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) |
(/.f64 U (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) |
(/.f64 U (*.f64 #s(literal 2 binary64) J)) |
(/.f64 U (*.f64 J #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) J) |
(*.f64 J #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos.f64 K) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 U J) #s(literal -1/2 binary64) (/.f64 J (neg.f64 U)))))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 U J) #s(literal -1/2 binary64) (/.f64 J (neg.f64 U))))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 U J) #s(literal -1/2 binary64) (/.f64 J (neg.f64 U)))) |
(*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
(fma.f64 (/.f64 U J) #s(literal -1/2 binary64) (/.f64 J (neg.f64 U))) |
U |
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 J (*.f64 U U))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) |
(/.f64 #s(literal 1/2 binary64) J) |
#s(literal 1/2 binary64) |
(/.f64 J (*.f64 U U)) |
(*.f64 U U) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
J |
(cos.f64 (/.f64 K #s(literal 2 binary64))) |
(/.f64 K #s(literal 2 binary64)) |
K |
#s(literal 2 binary64) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 (/.f64 U J) U) J) |
(/.f64 (*.f64 U U) (*.f64 J J)) |
(*.f64 (/.f64 U J) U) |
(/.f64 (*.f64 U U) J) |
(/.f64 U J) |
U |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (-.f64 (/.f64 (*.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U)))) |
#s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) |
#s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (-.f64 (/.f64 (*.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U))) |
(*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
(-.f64 (/.f64 (*.f64 U #s(literal -1/2 binary64)) J) (/.f64 (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U)) |
(neg.f64 U) |
U |
(fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) |
(fma.f64 J (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) K) |
(*.f64 K #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
K |
#s(literal 2 binary64) |
(/.f64 J (*.f64 U U)) |
J |
(*.f64 U U) |
(/.f64 #s(literal 1/2 binary64) J) |
(*.f64 J #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 89.5% | (/.f64 J (*.f64 U U)) |
| ✓ | accuracy | 89.1% | (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
| ✓ | accuracy | 86.7% | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
| ✓ | accuracy | 15.2% | #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) |
| ✓ | accuracy | 94.8% | (/.f64 (*.f64 (/.f64 U J) U) J) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
| ✓ | accuracy | 84.3% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) |
| ✓ | accuracy | 86.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
| ✓ | accuracy | 84.3% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) |
| ✓ | accuracy | 55.8% | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 0.7% | #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
| ✓ | accuracy | 86.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 84.3% | #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) |
| ✓ | accuracy | 55.8% | #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
| ✓ | accuracy | 47.5% | #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.4% | (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) |
| ✓ | accuracy | 86.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
| ✓ | accuracy | 83.9% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) |
| 146.0ms | 256× | 0 | valid |
Compiled 547 to 62 computations (88.7% saved)
ival-mult: 37.0ms (38.3% of total)ival-cos: 22.0ms (22.8% of total)ival-div: 14.0ms (14.5% of total)ival-add: 9.0ms (9.3% of total)ival-sqrt: 7.0ms (7.2% of total)ival-pow2: 5.0ms (5.2% of total)ival-neg: 2.0ms (2.1% 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 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (patch #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) (patch (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (patch (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) (patch (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 U J) U) J) (patch (/.f64 (*.f64 (/.f64 U J) U) J) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (patch (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) (patch (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (patch #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) (patch (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) (patch #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf U) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor 0 J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ U J)) (taylor 0 K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J))) (taylor 0 K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))) (* 1/16 (/ U J))))) (taylor 0 K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ U J)) (+ (* 1/384 (/ U J)) (* 1/4 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J)))))))) (* -1/2 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))))))) (taylor 0 K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ U (* J (+ 1 (cos K))))) (taylor -inf K) (#s(alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1/2 (pow K 2))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2))) (taylor 0 K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor -inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (cos K)) (taylor -inf K) (#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (taylor 0 K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (taylor 0 K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf J) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor 0 U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
#s(alt (/ J (pow U 2)) (taylor -inf U) (#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())) ()) |
189 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | J | @ | 0 | (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) |
| 31.0ms | J | @ | inf | (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) |
| 14.0ms | U | @ | 0 | (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) |
| 2.0ms | U | @ | inf | (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) |
| 2.0ms | K | @ | inf | (* (neg U) (+ (* (pow (cos (* 1/2 K)) 2) (/ J (* U U))) (/ 1/2 J))) |
| 1× | egg-herbie |
| 8 038× | lower-fma.f64 |
| 8 038× | lower-fma.f32 |
| 6 370× | lower-*.f64 |
| 6 370× | lower-*.f32 |
| 5 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 897 | 19287 |
| 1 | 2981 | 18885 |
| 0 | 8366 | 17930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/4 (/ U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J))) |
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))) (* 1/16 (/ U J))))) |
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ U J)) (+ (* 1/384 (/ U J)) (* 1/4 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J)))))))) (* -1/2 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
2 |
(+ 2 (* -1/2 (pow K 2))) |
(+ 2 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2))) |
(+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2))) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(+ 1 (cos K)) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/2 (/ 1 (* (pow J 2) (+ 1 (cos K))))) (/ 1 (pow U 2)))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2)) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
1 |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))) |
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
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U |
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(* -2 J) |
(* -2 J) |
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1 |
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
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(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
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1 |
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
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(* -1 (/ J U)) |
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(/ (- (* -1 (/ (pow J 2) (pow U 2))) 1/2) J) |
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
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(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) |
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(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)) |
U |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))) |
(* -1 U) |
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3)))))) |
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -1/16 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))) |
(* 1/2 (/ U J)) |
(/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(cos (* 1/2 K)) |
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K)))))))) |
(* (/ (* U (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K))))) |
(* U (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K))))))) |
(* U (+ (* -1/8 (* (/ (pow J 3) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K)))))))) |
(* U (+ (* -1/8 (* (/ (pow J 3) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* 1/16 (* (/ (pow J 5) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K))))))))) |
(* -1 (* (/ (* U (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) |
(* -1 (* U (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K)))))))) |
(* -1 (* U (+ (* -1/8 (* (/ (pow J 3) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K))))))))) |
(* -1 (* U (+ (* -1/8 (* (/ (pow J 3) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* 1/16 (* (/ (pow J 5) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (+ (* 1/2 (* (/ J (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (/ (sqrt 1/2) J) (sqrt (/ 1 (+ 1 (cos K)))))))))) |
(* (/ (* U (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K))))) |
(/ (+ (* 1/2 (* (/ (pow J 2) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) J) |
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (pow J 2) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) J) |
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ 1 (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/16 (* (/ (pow J 2) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5))))))))) J) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/128 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/128 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))) |
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -1 (* J (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K))))))) |
(* -1 (* J (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (+ (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 2 (cos (* 1/2 K)))))))) |
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) |
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
(/ J (pow U 2)) |
| Outputs |
|---|
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/4 (/ U J)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 U J)) |
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J))) |
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U (*.f64 K K)) J) (*.f64 #s(literal 1/4 binary64) (/.f64 U J))) |
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))) (* 1/16 (/ U J))))) |
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 U J) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/2 binary64)) (*.f64 (/.f64 U J) #s(literal -1/48 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 U J))) |
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ U J)) (+ (* 1/384 (/ U J)) (* 1/4 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J)))))))) (* -1/2 (+ (* -1/32 (/ U J)) (* 1/96 (/ U J))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 U J) #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 K K) (fma.f64 (/.f64 U J) #s(literal 13/5760 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) #s(literal -1/48 binary64)))) (*.f64 (/.f64 U J) #s(literal -1/48 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 U J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
(* 1/2 (/ U (* J (+ 1 (cos K))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow K 2))) |
(fma.f64 (*.f64 K K) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow K 2) (- (* 1/24 (pow K 2)) 1/2))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/24 (* -1/720 (pow K 2)))) 1/2))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(+ 1 (cos K)) |
(+.f64 #s(literal 1 binary64) (cos.f64 K)) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) |
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/48 binary64)) (*.f64 J J)))))) |
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/5760 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/48 binary64)) (*.f64 J J)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/48 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))) |
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(* -1 U) |
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U |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -1 U) |
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U |
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(* -1 U) |
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U |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -1 U) |
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U |
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(* -1 U) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))) |
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1 (cos K)))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))) |
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1 (cos K)) 2))))))))) |
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(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))) |
(*.f64 U (fma.f64 (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) |
(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) |
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(* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
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(* 2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) |
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(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) |
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(* -1 (* U (+ (* -2 (* (* (cos (* 1/2 K)) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))) |
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))) |
(*.f64 U (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 U (fma.f64 (neg.f64 (*.f64 J (*.f64 J J))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (neg.f64 (*.f64 J (*.f64 J J))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) |
(* -1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))) |
(*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))) |
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 (*.f64 J (*.f64 J J))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) |
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))) |
(neg.f64 (*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (neg.f64 (*.f64 J (*.f64 J J))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) |
(* 1/2 (/ U (* J (cos (* 1/2 K))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (fma.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J) |
(/.f64 (fma.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (*.f64 U (*.f64 U U))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) |
(fma.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) |
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))))) (*.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
(/ J (pow U 2)) |
(/.f64 J (*.f64 U U)) |
| 1× | batch-egg-rewrite |
| 5 118× | lower-/.f32 |
| 5 104× | lower-/.f64 |
| 4 172× | lower-*.f32 |
| 4 134× | lower-*.f64 |
| 2 974× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 545 |
| 0 | 116 | 533 |
| 1 | 370 | 496 |
| 2 | 2634 | 488 |
| 0 | 8630 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))) |
(*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
(neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(/.f64 (*.f64 (/.f64 U J) U) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) |
(*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) |
(neg.f64 U) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) |
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) |
(/.f64 J (*.f64 U U)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K))))) (*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)))) (/.f64 U (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J #s(literal -2 binary64)))) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K)))) (*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1 binary64) (cos.f64 K))) |
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) U)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))) |
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)))) |
(/.f64 (neg.f64 U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) U))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K)))) |
(/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K)))))) |
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(/.f64 (*.f64 U #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))) |
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))) |
(/.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J))))) |
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 U #s(literal 1/2 binary64))) (neg.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(/.f64 (*.f64 U (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (*.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) J) |
(/.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) |
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U))) |
(/.f64 (neg.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))) |
(/.f64 (neg.f64 (*.f64 U (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 J #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (neg.f64 (*.f64 J #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (neg.f64 J)) |
(/.f64 (neg.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 J #s(literal -2 binary64))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) U) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)))) |
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 J U))) |
(*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)))) |
(*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 U J) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 #s(literal 1 binary64) U))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (neg.f64 U)) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 #s(literal 2 binary64) U))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 K))))) |
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) J)) |
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal -2 binary64))) |
(*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1 binary64))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 K) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1 binary64))) (+.f64 (cos.f64 K) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 K) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) U) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (neg.f64 U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J)) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J)) |
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal -1 binary64)) (/.f64 (neg.f64 U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) |
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
(*.f64 (/.f64 U (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 K) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (/.f64 U (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1 binary64))) (/.f64 U (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 K) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (neg.f64 U) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1 binary64) (cos.f64 K)))))) |
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))) #s(literal 1/4 binary64))) |
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))))) |
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J))))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 #s(literal 2 binary64) J)) J)))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (-.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 J (*.f64 U U))))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (-.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 J (*.f64 U U)))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 U U) J)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 U (neg.f64 U))) (neg.f64 (/.f64 J (*.f64 U U)))) |
(neg.f64 (neg.f64 (/.f64 J (*.f64 U U)))) |
(/.f64 J (*.f64 U U)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) J)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 U U) (neg.f64 J)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) |
(/.f64 (neg.f64 J) (*.f64 U (neg.f64 U))) |
(/.f64 (/.f64 J U) U) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (neg.f64 J))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) |
(/.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 U U)) |
(/.f64 (neg.f64 (neg.f64 J)) (neg.f64 (*.f64 U (neg.f64 U)))) |
(/.f64 (neg.f64 (/.f64 J U)) (neg.f64 U)) |
(/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 U J)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 J U))) (neg.f64 (neg.f64 U))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 J))) (neg.f64 (neg.f64 (*.f64 U (neg.f64 U))))) |
(/.f64 (neg.f64 (*.f64 J #s(literal 1 binary64))) (*.f64 U (neg.f64 U))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) U)) (neg.f64 (/.f64 U J))) |
(pow.f64 (/.f64 (*.f64 U U) J) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 J (/.f64 #s(literal 1 binary64) (*.f64 U U))) |
(*.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U U))) |
(*.f64 (neg.f64 J) (/.f64 #s(literal 1 binary64) (*.f64 U (neg.f64 U)))) |
(*.f64 (/.f64 J U) (/.f64 #s(literal 1 binary64) U)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) J) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 J U)) |
(*.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (neg.f64 U))) |
Compiled 50 316 to 4 313 computations (91.4% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 609 | 13 | 1 622 |
| Fresh | 6 | 15 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 620 | 32 | 1 652 |
| Status | Accuracy | Program |
|---|---|---|
| 21.4% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 28.8% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 36.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) | |
| 48.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 21.5% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 10.7% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) | |
| 67.3% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 48.8% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 42.9% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) | |
| 59.4% | (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) | |
| 42.7% | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 59.4% | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) | |
| 9.3% | (*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) | |
| 27.2% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) | |
| 4.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) | |
| ✓ | 33.5% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| 25.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) | |
| 32.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) | |
| 10.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) | |
| 8.3% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) | |
| 10.7% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) | |
| 9.8% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) | |
| 2.4% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) | |
| ✓ | 28.9% | (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
| 10.7% | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) | |
| 47.3% | (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) | |
| 45.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) | |
| 13.2% | #s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) | |
| ✓ | 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
| 25.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) | |
| ✓ | 42.1% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 55.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
Compiled 2 261 to 763 computations (66.3% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
6 calls:
| 26.0ms | K |
| 25.0ms | J |
| 21.0ms | U |
| 21.0ms | (/.f64 K #s(literal 2 binary64)) |
| 20.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 2 | J |
| 70.4% | 1 | K |
| 85.6% | 2 | U |
| 99.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 70.4% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 70.4% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 52 to 37 computations (28.8% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
1 calls:
| 20.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
1 calls:
| 16.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
1 calls:
| 15.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
1 calls:
| 15.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
1 calls:
| 26.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))) #s(literal -2 binary64)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1))))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 J #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))) |
2 calls:
| 15.0ms | J |
| 15.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 2 | J |
| 88.9% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) |
1 calls:
| 12.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 J (*.f64 U U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64)) J) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))) U) (/.f64 (neg.f64 U) U) (/.f64 U (*.f64 J #s(literal -2 binary64))))) (*.f64 J #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
3 calls:
| 14.0ms | J |
| 13.0ms | U |
| 11.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 2 | J |
| 69.2% | 2 | U |
| 84.2% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (* K 1/2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (* (/ U J) (/ (/ U (* 2 J)) (+ (* 2 (* 1/2 (cos K))) 1)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
1 calls:
| 10.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 5 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* (/ U J) U) J)) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
2 calls:
| 9.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 9.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 2 | J |
| 80.1% | 6 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 31 to 20 computations (35.5% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* J (cos (* K 1/2))) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (cos (* K 1/2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 6 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1/2 binary64)) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) #s(approx (* J (cos (* 1/2 K))) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (*.f64 K (*.f64 J #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
6 calls:
| 10.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 8.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 8.0ms | U |
| 8.0ms | (/.f64 K #s(literal 2 binary64)) |
| 8.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 2 | U |
| 56.6% | 2 | J |
| 54.0% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 47.2% | 3 | K |
| 47.2% | 3 | (/.f64 K #s(literal 2 binary64)) |
| 69.3% | 5 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 52 to 37 computations (28.8% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 (-.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 (*.f64 J J) U)) J))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
1 calls:
| 6.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U #s(literal 0 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 U (neg.f64 U))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (fma.f64 U U #s(literal 0 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U #s(literal 0 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J)))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J)))))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 4 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (neg (+ (/ 1/2 J) (/ J (* U U))))) (/.f64 J (neg.f64 U)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 3.0ms | J |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 2 | J |
| 55.2% | 3 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
Compiled 31 to 20 computations (35.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
6 calls:
| 2.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 1.0ms | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 1.0ms | (/.f64 K #s(literal 2 binary64)) |
| 1.0ms | K |
| 1.0ms | U |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.1% | 1 | K |
| 42.1% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 42.1% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 42.1% | 1 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
| 42.1% | 1 | U |
| 42.1% | 1 | J |
Compiled 52 to 37 computations (28.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -2.7782118735542845e+208 | -9.891377045597307e+204 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -2.7782118735542845e+208 | -9.891377045597307e+204 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | 9.00249478109304e-78 | 8.157000151640439e-56 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | 8.787994220434058e-175 | 3.83132882159385e-141 |
| 0.0ms | -2.418690635386967e-50 | -2.807614587037769e-52 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -2.418690635386967e-50 | -2.807614587037769e-52 |
| 0.0ms | -6.36238807491998e+115 | -5.61349905318709e+113 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.486767419684525e+303 | +inf |
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -2.418690635386967e-50 | -2.807614587037769e-52 |
| 0.0ms | -1.8181520446742278e+152 | -1.3962646289075807e+150 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -2.418690635386967e-50 | -2.807614587037769e-52 |
| 0.0ms | -9.804089520183315e+165 | -3.959884290944525e+164 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -1.594350538167283e-8 | -8.413621924739412e-29 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -1.594350538167283e-8 | -8.413621924739412e-29 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -1.594350538167283e-8 | -8.413621924739412e-29 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.966138987498541e-233 | 3.3517007954366064e-244 |
| 0.0ms | -1.594350538167283e-8 | -8.413621924739412e-29 |
| 0.0ms | -inf | -4.2975329278034527e+307 |
Compiled 30 to 23 computations (23.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.336589951816861e+83 | 7.171897594427932e+85 |
| 16.0ms | 128× | 0 | valid |
Compiled 182 to 127 computations (30.2% saved)
ival-mult: 4.0ms (32.5% of total)ival-cos: 3.0ms (24.4% of total)ival-div: 2.0ms (16.3% of total)ival-add: 1.0ms (8.1% of total)ival-sqrt: 1.0ms (8.1% of total)ival-pow2: 1.0ms (8.1% 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 |
| 106× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 3997 |
| 1 | 314 | 3997 |
| 2 | 336 | 3997 |
| 3 | 350 | 3997 |
| 4 | 357 | 3997 |
| 5 | 359 | 3997 |
| 1× | saturated |
| Inputs |
|---|
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64))))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -19999999999999999637261396616218963965854548433967571443553349589398276213078849877797201319406193650987089233045392713610056728883285684658627493100394288507721587321969841645914622571464951723145900071059456 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (/.f64 U J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -19999999999999999637261396616218963965854548433967571443553349589398276213078849877797201319406193650987089233045392713610056728883285684658627493100394288507721587321969841645914622571464951723145900071059456 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))))) |
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -3022314549036573/302231454903657293676544 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -3022314549036573/302231454903657293676544 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -3022314549036573/302231454903657293676544 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J))))))))) |
(if (<=.f64 J #s(literal 210000000000000002425407278430107981431700665363106426281216799164683496946254479360 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))))) |
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -3022314549036573/302231454903657293676544 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -8949657474523425/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U #s(approx (neg (+ (/ 1/2 J) (/ J (* U U)))) (/.f64 #s(literal -1/2 binary64) J))))))))) |
(if (<=.f64 J #s(literal 210000000000000002425407278430107981431700665363106426281216799164683496946254479360 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 19 354× | lower-fma.f64 |
| 19 354× | lower-fma.f32 |
| 11 390× | lower-fma.f64 |
| 11 390× | lower-fma.f32 |
| 10 438× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 3717 |
| 1 | 1153 | 3609 |
| 2 | 4514 | 3477 |
| 0 | 8499 | 3319 |
| 0 | 539 | 16881 |
| 1 | 1709 | 16420 |
| 2 | 6439 | 15900 |
| 0 | 8132 | 15081 |
| 0 | 661 | 16225 |
| 1 | 2146 | 15748 |
| 0 | 8166 | 14838 |
| 0 | 63 | 366 |
| 0 | 104 | 356 |
| 1 | 298 | 318 |
| 2 | 1793 | 312 |
| 0 | 8606 | 310 |
| 0 | 74 | 545 |
| 0 | 116 | 533 |
| 1 | 370 | 496 |
| 2 | 2634 | 488 |
| 0 | 8630 | 488 |
| 0 | 17 | 66 |
| 0 | 28 | 66 |
| 1 | 79 | 66 |
| 2 | 432 | 66 |
| 3 | 4364 | 66 |
| 0 | 8129 | 66 |
| 0 | 897 | 19287 |
| 1 | 2981 | 18885 |
| 0 | 8366 | 17930 |
| 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× | 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 |
Compiled 4 621 to 1 636 computations (64.6% saved)
(abs K)
Compiled 5 708 to 830 computations (85.5% saved)
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