
Time bar (total: 9.3s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 334.0ms (37.8% of total)ival-cos: 213.0ms (24.1% of total)ival-div: 114.0ms (12.9% of total)ival-pow2: 86.0ms (9.7% of total)ival-add: 59.0ms (6.7% of total)ival-sqrt: 55.0ms (6.2% of total)exact: 12.0ms (1.4% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 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)))) |
| 33 | 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 | 137 | (2.6336608912506977e-102 1.61697928123351e+294 5.073380951210623e+83) | 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 | 137 | 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 | 43 | 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 | 33 | |
| ↳ | (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) | overflow | 33 | |
| ↳ | (+.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 | 76 | |
| ↳ | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | overflow | 76 | |
*.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 | 33 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 0 |
| - | 92 | 88 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 0 | 0 |
| - | 92 | 0 | 88 |
| number | freq |
|---|---|
| 0 | 88 |
| 1 | 123 |
| 2 | 45 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 90.0ms | 512× | 0 | valid |
Compiled 248 to 55 computations (77.8% saved)
ival-cos: 17.0ms (33.2% of total)ival-mult: 15.0ms (29.3% of total)ival-div: 7.0ms (13.7% of total)ival-pow2: 5.0ms (9.8% of total)ival-sqrt: 4.0ms (7.8% of total)ival-add: 2.0ms (3.9% of total)ival-true: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J) |
(abs U)
(abs K)
(negabs J)
Compiled 24 to 17 computations (29.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.7% | (*.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))))) |
Compiled 24 to 17 computations (29.2% 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J) |
(*.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) |
(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 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (/.f64 U (*.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))))) |
(/.f64 (/.f64 U (*.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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) | |
| accuracy | 0.21484375 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.835257936731562 | (*.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 | 9.991197343873646 | (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)))) |
| 42.0ms | 256× | 0 | valid |
Compiled 112 to 19 computations (83% saved)
ival-cos: 11.0ms (39.1% of total)ival-mult: 9.0ms (32% of total)ival-div: 3.0ms (10.7% of total)ival-sqrt: 2.0ms (7.1% of total)ival-pow2: 2.0ms (7.1% of total)ival-add: 1.0ms (3.6% 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 (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#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)))) (* (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)))))))) (taylor 0 U) (#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)))) (* (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)))))))) (taylor 0 U) (#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 (taylor 0 U) (#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>) () ())) ()) |
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#s(alt (+ 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))))))) (taylor -inf J) (#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>) () ())) ()) |
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#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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | J | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 6.0ms | K | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 5.0ms | U | @ | inf | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) |
| 4.0ms | U | @ | 0 | ((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (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 | 4535 | 3477 |
| 0 | 8519 | 3319 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 |
(+ 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))))))) |
(* 1/4 (/ (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 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)) |
(* 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)))))) |
(* 1/4 (/ (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)))) |
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))) |
(* -1/2 (/ 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))))))) |
(* 1/4 (/ (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)))) |
(* -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) |
(+ (* -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)))))))) |
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))) |
(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))))))))))))) |
(* 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)))))))))) |
(* -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)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(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)))) |
(* -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)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
(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 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)))) |
(* -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) |
(* 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) |
(* 1/4 (/ (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)))) |
(* -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)))) |
(* -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) |
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))))))) |
(* 1/4 (/ (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)))) |
(* -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 (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) |
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))))))) |
(* 1/4 (/ (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 |
|---|
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(+ (* -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 (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(+ (* -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(+ 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))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64)) |
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(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J) |
(/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) 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 (fma.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #s(literal 3 binary64))) J) J (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (*.f64 J J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) 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 (fma.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #s(literal 3 binary64)))) (*.f64 J J) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (*.f64 J J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) J) |
(* 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 (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J J)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) J) |
(* 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 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) #s(literal -1/512 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J J)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) J) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 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 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 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))))))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) J) |
(* -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 (neg.f64 J) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(* -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 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 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 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 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))))))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
| 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 |
|---|
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Compiled 15 133 to 1 816 computations (88% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 11 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 469 | 11 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 37.5% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.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))))) | |
| ▶ | 71.7% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) |
| 63.9% | (*.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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) | |
| 42.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| ▶ | 32.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
| 50.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| ▶ | 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
| 35.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) | |
| 42.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) | |
| ▶ | 52.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
| ▶ | 35.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
Compiled 456 to 358 computations (21.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) | |
| cost-diff | 0 | (*.f64 J J) | |
| cost-diff | 0 | (*.f64 (*.f64 J J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) | |
| cost-diff | 0 | (cos.f64 (*.f64 K #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 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 | (cos.f64 (*.f64 K #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) |
| 5 242× | lower-*.f32 |
| 5 214× | lower-*.f64 |
| 4 226× | lower-/.f32 |
| 4 218× | lower-/.f64 |
| 3 606× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 428 |
| 0 | 82 | 428 |
| 1 | 137 | 428 |
| 2 | 297 | 428 |
| 3 | 761 | 428 |
| 4 | 2410 | 428 |
| 5 | 6919 | 428 |
| 0 | 8349 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (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) |
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 #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 |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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 J #s(literal -2 binary64)) |
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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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(literal 2 binary64) |
U |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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(literal 2 binary64) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(/.f64 J U) |
J |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(neg.f64 U) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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 -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) |
(*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 K #s(literal -1/2 binary64))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 K #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) K) |
K |
#s(literal -1/2 binary64) |
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)))) |
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 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 (/.f64 U (*.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))))) |
(/.f64 (/.f64 U (*.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) |
(*.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 |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
J |
#s(literal -2 binary64) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
K |
#s(literal 1/2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 (/.f64 J U) #s(literal -2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) |
(fma.f64 (*.f64 (*.f64 (/.f64 J U) #s(literal -2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
J |
#s(literal -2 binary64) |
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) |
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
K |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
U |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) U) (*.f64 (/.f64 (/.f64 J U) U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) U) (*.f64 (/.f64 (/.f64 J U) U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(*.f64 (*.f64 (/.f64 (/.f64 J U) U) 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)) |
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
K |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(*.f64 (/.f64 (/.f64 J U) U) J) |
(/.f64 J U) |
J |
U |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(neg.f64 U) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23275375976844204 | (*.f64 (/.f64 J U) (/.f64 J U)) | |
| accuracy | 0.28353500976844204 | (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 3.3025690902439946 | (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) | |
| accuracy | 52.67885649035839 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) | |
| accuracy | 0.11328125 | (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) | |
| accuracy | 0.28353500976844204 | (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) | |
| accuracy | 6.122377862302096 | (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) | |
| accuracy | 41.0255307830734 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) | |
| accuracy | 0 | (*.f64 J #s(literal -2 binary64)) | |
| accuracy | 0 | (cos.f64 (*.f64 K #s(literal 1/2 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) | |
| accuracy | 30.349628424344004 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| accuracy | 0 | (neg.f64 U) | |
| accuracy | 41.45598727252953 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) | |
| accuracy | 0.140625 | (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) | |
| accuracy | 0.21484375 | (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| accuracy | 7.835257936731562 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) | |
| accuracy | 9.991197343873646 | (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)))) |
| 117.0ms | 256× | 0 | valid |
Compiled 383 to 44 computations (88.5% saved)
ival-div: 34.0ms (36.4% of total)ival-mult: 32.0ms (34.3% of total)ival-cos: 16.0ms (17.1% of total)ival-pow2: 5.0ms (5.4% of total)ival-add: 4.0ms (4.3% of total)ival-sqrt: 2.0ms (2.1% 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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (patch (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #<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 #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 #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 J #s(literal -2 binary64)) (patch (*.f64 J #s(literal -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 #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) (patch (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J J) #s(literal -2 binary64)) (patch (*.f64 (*.f64 J J) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 J J) (patch (*.f64 J J) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) (patch (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) (patch (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #<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 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (patch (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 J U) (/.f64 J U)) (patch (*.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#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 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ (* -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)))))))) (taylor 0 U) (#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 (+ (* -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)))))))) (taylor 0 U) (#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 (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ()) |
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ()) |
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ()) |
#s(alt (* -1 U) (taylor 0 U) (#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (/.f64 J U)) (patch (*.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow J 2) (pow U 2)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (/.f64 J U)) (patch (*.f64 (/.f64 J U) (/.f64 J U)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | K | @ | -inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U))) |
| 11.0ms | K | @ | inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U))) |
| 8.0ms | J | @ | 0 | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U))) |
| 5.0ms | J | @ | inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U))) |
| 5.0ms | J | @ | -inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (* (/ J U) (/ J U))) |
| 1× | egg-herbie |
| 11 186× | lower-fma.f64 |
| 11 186× | lower-fma.f32 |
| 8 156× | lower-*.f64 |
| 8 156× | lower-*.f32 |
| 3 410× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 13788 |
| 1 | 2016 | 13503 |
| 2 | 7643 | 13495 |
| 0 | 8072 | 12875 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (* J (cos (* -1/2 K)))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(* -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) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -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)))))))) |
(* -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)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(* -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)))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
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))))))) |
(* 1/4 (/ (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)))) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))) |
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))) |
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* -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)) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -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)) |
(* -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)) |
(* -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))) 1)) |
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)) |
U |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* -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)) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 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)))))) |
(* 1/4 (/ (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)))) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))) |
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))) |
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))) |
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) |
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))) |
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 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))) |
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))) 1))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (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))))))) |
(* 1/4 (/ (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)))) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow (cos (* 1/2 K)) 2) U) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(* -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) |
(+ (* -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)))))))) |
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)))))) |
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))) |
(* -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 (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) |
(+ (* -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)))))))) |
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))) |
(* -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 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))) |
(* -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 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(/ (pow J 2) (pow U 2)) |
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2))) |
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 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))))))))))) |
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(* J (cos (* -1/2 K))) |
(* -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)))) |
(* 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)))) |
(* -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 (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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 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))))))) |
(* 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)))) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(* -2 (* J (cos (* -1/2 K)))) |
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))) |
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (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))) |
(* -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 (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 (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 (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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(* -2 (pow J 2)) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(pow J 2) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 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))))))) |
(* 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)))) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
(/ (pow J 2) (pow U 2)) |
| Outputs |
|---|
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (fma.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (*.f64 U U))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) 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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (*.f64 U (/.f64 U (pow.f64 J #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) 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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (*.f64 U (/.f64 U (pow.f64 J #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))) |
(* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) 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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (*.f64 U (/.f64 U (pow.f64 J #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(*.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U) |
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1 |
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#s(literal -1 binary64) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
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(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))) |
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(* 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))))))) |
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(* 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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(* -2 (* J (cos (* 1/2 K)))) |
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(* 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))))))) |
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(* 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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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
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(* -2 (* J (cos (* 1/2 K)))) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 J) |
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(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (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))))))) |
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(* 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))))))) |
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(* 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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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(*.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) U)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
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(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
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(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (/.f64 (neg.f64 U) J) J)) (*.f64 J J)) |
(* -2 (pow J 2)) |
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(* -2 (pow J 2)) |
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(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
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(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (/.f64 (neg.f64 U) J) J)) (*.f64 J J)) |
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (/.f64 (neg.f64 U) J) J)) (*.f64 J J)) |
(* -2 (pow J 2)) |
(*.f64 (*.f64 J #s(literal -2 binary64)) J) |
(* -2 (pow J 2)) |
(*.f64 (*.f64 J #s(literal -2 binary64)) J) |
(* -2 (pow J 2)) |
(*.f64 (*.f64 J #s(literal -2 binary64)) J) |
(* -2 (pow J 2)) |
(*.f64 (*.f64 J #s(literal -2 binary64)) J) |
(pow J 2) |
(*.f64 J J) |
(pow J 2) |
(*.f64 J J) |
(pow J 2) |
(*.f64 J J) |
(pow J 2) |
(*.f64 J J) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(*.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 2 binary64) (/.f64 U (*.f64 J J))) (*.f64 J J)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 2 binary64) (/.f64 U (*.f64 J J))) (*.f64 J J)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal 2 binary64) (/.f64 U (*.f64 J J))) (*.f64 J J)) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* -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 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) |
(* -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 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64)) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 J J))) (*.f64 J J)) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 J J))) (*.f64 J J)) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 J J))) (*.f64 J J)) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 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 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 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 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) 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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) 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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) 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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) |
(/ (pow J 2) (pow U 2)) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(/ (pow J 2) (pow U 2)) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(/ (pow J 2) (pow U 2)) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
(/ (pow J 2) (pow U 2)) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
| 8 618× | lower-fma.f32 |
| 8 614× | lower-fma.f64 |
| 6 014× | lower-*.f32 |
| 5 986× | lower-*.f64 |
| 3 026× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 328 |
| 0 | 82 | 318 |
| 1 | 220 | 310 |
| 2 | 1177 | 306 |
| 0 | 9327 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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 J #s(literal -2 binary64)) |
(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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) |
(*.f64 (*.f64 J J) #s(literal -2 binary64)) |
(*.f64 J J) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) |
(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)) |
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) |
(*.f64 (/.f64 J U) (/.f64 J U)) |
| Outputs |
|---|
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Compiled 40 016 to 4 025 computations (89.9% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 444 | 13 | 1 457 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 449 | 19 | 1 468 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.7% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) |
| 63.9% | (*.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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) | |
| 42.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| ▶ | 35.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
| 50.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) | |
| ▶ | 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
| 38.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) | |
| 42.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) | |
| ✓ | 52.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
| ▶ | 26.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
| 27.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) | |
| 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) | |
| 17.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) | |
| ✓ | 35.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 32.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) | |
| ▶ | 28.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
Compiled 562 to 481 computations (14.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| cost-diff | 8320 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) | |
| cost-diff | 640 | (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) | |
| cost-diff | 640 | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) |
| 6 556× | lower-*.f32 |
| 6 522× | lower-*.f64 |
| 4 576× | lower-fma.f32 |
| 4 570× | lower-fma.f64 |
| 1 710× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 494 |
| 0 | 96 | 487 |
| 1 | 176 | 480 |
| 2 | 410 | 466 |
| 3 | 1317 | 454 |
| 4 | 4381 | 454 |
| 5 | 6062 | 452 |
| 0 | 8505 | 440 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (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) |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) |
(*.f64 (/.f64 U J) #s(literal 1/2 binary64)) |
(/.f64 U J) |
U |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos.f64 K) |
(*.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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) |
(*.f64 J #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 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 J #s(literal -2 binary64)) |
J |
#s(literal -2 binary64) |
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) |
#s(literal 1/384 binary64) |
(*.f64 K K) |
K |
#s(literal -1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(cos.f64 K) |
K |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 J U) |
J |
U |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(sqrt.f64 (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) |
K |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) J) #s(literal 1/2 binary64)) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) |
(*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 K #s(literal -1/2 binary64))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 K #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) K) |
K |
#s(literal -1/2 binary64) |
J |
#s(literal -2 binary64) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) J) #s(literal 1/2 binary64)) U #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) J) #s(literal 1/2 binary64)) U #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) |
(*.f64 (*.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) J) #s(literal 1/2 binary64)) U) |
(*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) U) |
(*.f64 (/.f64 U J) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 U J)) |
(/.f64 U J) |
U |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) |
(fma.f64 (cos.f64 K) J J) |
(+.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 1/2 binary64) (cos.f64 K)) |
(*.f64 (cos.f64 K) #s(literal 1/2 binary64)) |
(cos.f64 K) |
(*.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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))) |
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) |
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
J |
#s(literal -2 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
J |
#s(literal -2 binary64) |
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) |
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) |
#s(literal 1/384 binary64) |
(*.f64 K K) |
K |
#s(literal -1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (fma.f64 (/.f64 J U) (fma.f64 (cos.f64 K) J J) U))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
(neg.f64 (fma.f64 (/.f64 J U) (fma.f64 (cos.f64 K) J J) U)) |
(+.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)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(*.f64 (cos.f64 K) #s(literal 1/2 binary64)) |
(cos.f64 K) |
K |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J J)) |
(/.f64 J U) |
J |
U |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(sqrt.f64 (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) |
K |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) | |
| accuracy | 20.483987533578304 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| accuracy | 0.01953125 | (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) | |
| accuracy | 0.16434354629865902 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) | |
| accuracy | 22.445233621665235 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) | |
| accuracy | 0.4811404544625879 | (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) | |
| accuracy | 14.954197320150953 | #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) | |
| accuracy | 20.483987533578304 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) | |
| accuracy | 0 | (*.f64 J #s(literal -2 binary64)) | |
| accuracy | 12.342430811822936 | #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) | |
| accuracy | 20.483987533578304 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) | |
| accuracy | 0.16434354629865902 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) | |
| accuracy | 3.8477338985330736 | (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) | |
| accuracy | 4.3011903966844836 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) | |
| accuracy | 6.9650320667259775 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) |
| 111.0ms | 181× | 0 | valid |
| 54.0ms | 75× | 0 | invalid |
Compiled 405 to 57 computations (85.9% saved)
ival-mult: 52.0ms (40.1% of total)ival-cos: 48.0ms (37% of total)ival-div: 9.0ms (6.9% of total)ival-add: 7.0ms (5.4% of total)ival-sqrt: 6.0ms (4.6% of total)const: 4.0ms (3.1% of total)ival-pow2: 2.0ms (1.5% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) (patch (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) (patch #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 J #s(literal -2 binary64)) (patch (*.f64 J #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (patch (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) (patch (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (patch (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) (taylor 0 U) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) (taylor 0 U) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) (patch (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) (patch (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (pow J 2) U)) (taylor -inf J) (#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | J | @ | 0 | ((* (+ 1/2 (* 1/2 (cos K))) (* 2 J)) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ 1/2 (* 1/2 (cos K))) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))) (+ (* 1/384 (* K K)) -1/8) (* (/ J U) (* -2 J)) (sqrt (cos (* -1/2 K)))) |
| 8.0ms | K | @ | -inf | ((* (+ 1/2 (* 1/2 (cos K))) (* 2 J)) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ 1/2 (* 1/2 (cos K))) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))) (+ (* 1/384 (* K K)) -1/8) (* (/ J U) (* -2 J)) (sqrt (cos (* -1/2 K)))) |
| 8.0ms | U | @ | inf | ((* (+ 1/2 (* 1/2 (cos K))) (* 2 J)) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ 1/2 (* 1/2 (cos K))) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))) (+ (* 1/384 (* K K)) -1/8) (* (/ J U) (* -2 J)) (sqrt (cos (* -1/2 K)))) |
| 7.0ms | K | @ | inf | ((* (+ 1/2 (* 1/2 (cos K))) (* 2 J)) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ 1/2 (* 1/2 (cos K))) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))) (+ (* 1/384 (* K K)) -1/8) (* (/ J U) (* -2 J)) (sqrt (cos (* -1/2 K)))) |
| 6.0ms | J | @ | inf | ((* (+ 1/2 (* 1/2 (cos K))) (* 2 J)) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ 1/2 (* 1/2 (cos K))) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (cos (* K 1/2)) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* 1/2 (cos K)) (* (* (* -2 J) (sqrt (cos (* -1/2 K)))) (sqrt (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (cos (* -1/2 K)))) (* -2 J) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))) (+ (* 1/384 (* K K)) -1/8) (* (/ J U) (* -2 J)) (sqrt (cos (* -1/2 K)))) |
| 1× | egg-herbie |
| 10 764× | lower-fma.f64 |
| 10 764× | lower-fma.f32 |
| 8 406× | lower-*.f64 |
| 8 406× | lower-*.f32 |
| 3 354× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 13321 |
| 1 | 2032 | 12990 |
| 2 | 7662 | 12988 |
| 0 | 8032 | 12156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 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))))))))) |
(* -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)))))))) |
(* -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)))))))) |
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(* -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)))))))) |
(* -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 |
(+ 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))))))))) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 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)))))))) |
(* -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)) |
(* -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)) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* -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)) |
(* -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)) |
(* 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))))))))) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (* 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))))))))) |
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))) |
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 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
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))) |
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))) |
(* -1/2 (* (/ 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)))))))))) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* 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)))))) |
(+ 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) (+ (* -1/4 (* (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 (+ (* 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 |
(+ 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))) |
(* -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 (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) |
(+ (* -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 (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) |
(+ (* -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)))))))) |
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))) |
(- (* -2 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
(* -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)))))))))))))))) |
1/2 |
(+ 1/2 (* -1/4 (pow K 2))) |
(+ 1/2 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) |
(+ 1/2 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) |
(* -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 (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)))))))))))))))) |
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(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))))))))))))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
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(+ (* 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)))))))))) |
-1/8 |
(- (* 1/384 (pow K 2)) 1/8) |
(- (* 1/384 (pow K 2)) 1/8) |
(- (* 1/384 (pow K 2)) 1/8) |
1 |
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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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(cos (* 1/2 K)) |
(cos (* 1/2 K)) |
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(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U) |
(* -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)))))))) |
(* 1/2 (cos K)) |
(* 1/2 (cos K)) |
(* 1/2 (cos K)) |
(* 1/2 (cos K)) |
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(sqrt (cos (* -1/2 K))) |
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(* 2 (* J (+ 1/2 (* 1/2 (cos K))))) |
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(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) |
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(+ (* -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))))))))))) |
(* -1 U) |
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(+ (* -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)))) |
(* -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) |
(* -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)))))))) |
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(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
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(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U) |
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U) |
(* -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)))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* -2 (* J (cos (* -1/2 K)))) |
(* -2 (* 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 (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* 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) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* 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))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 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)))) |
(* 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)))) |
(* -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 (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)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* -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)))) |
(* -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 (+ (* -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 (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 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))))))))) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* 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))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(* -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 (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 (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 (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 (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (* J (cos (* 1/2 K)))) |
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* -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 (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 (* 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 (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 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))))))))) |
(* 1/4 (/ (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)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 U U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 J #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(+ (* -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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 J #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 U U)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(+ (* -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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 U (/.f64 U (pow.f64 J #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(+ (* -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
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1 |
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1/2 |
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1 |
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(* 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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(* 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)))))))) |
(*.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))))) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(* -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 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) |
(* -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 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))))) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 (* J (sqrt (cos (* -1/2 K))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal -2 binary64) J)) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
(* -2 J) |
(*.f64 #s(literal -2 binary64) J) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 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)))))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 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))))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/1024 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J))) |
(* -2 (/ (pow J 2) U)) |
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) |
(* -2 (/ (pow J 2) U)) |
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) |
(* -2 (/ (pow J 2) U)) |
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) |
(* -2 (/ (pow J 2) U)) |
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) |
| 5 288× | lower-*.f32 |
| 5 254× | lower-*.f64 |
| 4 418× | lower-/.f32 |
| 4 412× | lower-/.f64 |
| 3 136× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 384 |
| 0 | 96 | 384 |
| 1 | 291 | 370 |
| 2 | 1880 | 370 |
| 0 | 8797 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) |
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 K)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (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 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) |
(*.f64 #s(literal -2 binary64) J) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))))) |
(/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 2 binary64) J))) |
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
(sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
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Compiled 31 581 to 2 723 computations (91.4% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 037 | 7 | 1 044 |
| Fresh | 4 | 8 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 043 | 20 | 1 063 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.5% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
| 53.6% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) | |
| ▶ | 39.5% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
| 42.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| ▶ | 50.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
| ▶ | 35.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
| 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| ✓ | 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
| 38.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) | |
| ✓ | 52.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
| ✓ | 26.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
| 27.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) | |
| 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) | |
| ▶ | 17.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
| ✓ | 35.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 32.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) | |
| ✓ | 28.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
Compiled 558 to 466 computations (16.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 (*.f64 K #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 J #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) J) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) | |
| cost-diff | 0 | #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) | |
| cost-diff | 0 | (neg.f64 U) | |
| cost-diff | 0 | #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) | |
| cost-diff | 0 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) | |
| 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))) J) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
| 5 654× | lower-*.f32 |
| 5 628× | lower-*.f64 |
| 5 276× | lower-fma.f32 |
| 5 270× | lower-fma.f64 |
| 3 184× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 545 |
| 0 | 107 | 545 |
| 1 | 203 | 545 |
| 2 | 514 | 537 |
| 3 | 1424 | 529 |
| 4 | 3985 | 529 |
| 5 | 4524 | 529 |
| 6 | 7659 | 529 |
| 0 | 8503 | 515 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (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) |
J |
#s(literal -2 binary64) |
(sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
#s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(*.f64 U (/.f64 U J)) |
U |
(/.f64 U J) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 U) |
U |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
(fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
#s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
(/.f64 J U) |
J |
U |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(*.f64 U (/.f64 U J)) |
U |
(/.f64 U J) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 J #s(literal -2 binary64)) |
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) |
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) |
(*.f64 (*.f64 U U) #s(literal -1/4 binary64)) |
(*.f64 U U) |
U |
#s(literal -1/4 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64))))) J) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) |
(*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) |
(cos.f64 (*.f64 K #s(literal -1/2 binary64))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) K)) |
(*.f64 K #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) K) |
K |
#s(literal -1/2 binary64) |
J |
#s(literal -2 binary64) |
(sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64)))) |
#s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
#s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(*.f64 U (/.f64 U J)) |
(*.f64 (/.f64 U J) U) |
U |
(/.f64 U J) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
(*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 U) |
U |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) U) (*.f64 (*.f64 #s(literal -2 binary64) J) J) (neg.f64 U))) |
(fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
(fma.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) U) (*.f64 (*.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) |
#s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J J)) |
(/.f64 J U) |
J |
U |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
(neg.f64 U) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)) |
(*.f64 #s(literal -2 binary64) J) |
#s(literal -2 binary64) |
J |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 (/.f64 U J) J) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/4 binary64) J) |
#s(literal 1/4 binary64) |
(*.f64 U (/.f64 U J)) |
(*.f64 (/.f64 U J) U) |
U |
(/.f64 U J) |
#s(literal 1 binary64) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) 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)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(*.f64 J #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) J) |
J |
#s(literal -2 binary64) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) K)) |
(*.f64 K #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) K) |
K |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) |
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) |
(*.f64 (*.f64 U U) #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 U U)) |
(*.f64 U U) |
U |
#s(literal -1/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) | |
| accuracy | 0.078125 | (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) | |
| accuracy | 6.754152764569131 | (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) | |
| accuracy | 29.602609606258564 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| accuracy | 2.580841074162506 | (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) | |
| accuracy | 7.796195436731562 | (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) | |
| accuracy | 9.99400942547538 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) | |
| accuracy | 25.2221160962975 | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) | |
| accuracy | 0.03125 | (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) | |
| accuracy | 27.901973521529268 | #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) | |
| accuracy | 41.0255307830734 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) | |
| accuracy | 0 | (neg.f64 U) | |
| accuracy | 3.3025690902439946 | (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) | |
| accuracy | 31.293243525656216 | #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) | |
| accuracy | 52.67885649035839 | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) | |
| accuracy | 2.580841074162506 | (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) | |
| accuracy | 5.120326045289802 | #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) | |
| accuracy | 7.835257936731562 | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) | |
| accuracy | 9.991197343873646 | (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
| 216.0ms | 256× | 0 | valid |
Compiled 432 to 65 computations (85% saved)
ival-mult: 89.0ms (49.8% of total)ival-cos: 57.0ms (31.9% of total)ival-div: 12.0ms (6.7% of total)ival-add: 8.0ms (4.5% of total)ival-sqrt: 5.0ms (2.8% of total)ival-pow2: 5.0ms (2.8% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (patch (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #<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 #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) (patch (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (patch #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (patch (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) (patch #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (patch (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 J #s(literal -2 binary64)) (patch (*.f64 J #s(literal -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 (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 (* J (cos (* -1/2 K)))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 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)))))))) (taylor -inf J) (#s(alt (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 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))))))))) (taylor -inf J) (#s(alt (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf J) (#s(alt #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) (patch #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf J) (#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor -inf J) (#s(alt (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) J)) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | U | @ | 0 | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (* J -2) (cos (* K 1/2)) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ (* (/ 1/4 J) (* U (/ U J))) 1) (/ (* (* U U) -1/4) J) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) |
| 25.0ms | U | @ | -inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (* J -2) (cos (* K 1/2)) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ (* (/ 1/4 J) (* U (/ U J))) 1) (/ (* (* U U) -1/4) J) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) |
| 6.0ms | J | @ | 0 | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (* J -2) (cos (* K 1/2)) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ (* (/ 1/4 J) (* U (/ U J))) 1) (/ (* (* U U) -1/4) J) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) |
| 6.0ms | U | @ | inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (* J -2) (cos (* K 1/2)) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ (* (/ 1/4 J) (* U (/ U J))) 1) (/ (* (* U U) -1/4) J) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) |
| 5.0ms | J | @ | -inf | ((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (* J -2) (cos (* K 1/2)) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (+ (* (/ 1/4 J) (* U (/ U J))) 1) (/ (* (* U U) -1/4) J) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) |
| 1× | egg-herbie |
| 13 936× | lower-fma.f64 |
| 13 936× | lower-fma.f32 |
| 9 826× | lower-*.f64 |
| 9 826× | lower-*.f32 |
| 4 962× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 838 | 16145 |
| 1 | 2716 | 15735 |
| 0 | 8756 | 14747 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))))))))) |
(* -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)))))))) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -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)))))))) |
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -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))))))))) |
(* -2 J) |
(+ (* -2 J) (* -1/4 (/ (pow U 2) J))) |
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J))))) |
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J))))) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2)))))) |
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 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)))))))) |
(* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* 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 |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -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)))))))) |
(* -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 |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -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)) |
(* -1 U) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -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)))))))) |
(* -1 U) |
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) |
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)) |
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)) |
(* 1/2 (/ U J)) |
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -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)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 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))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* (* 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))))))))) |
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))) |
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))) 1))) |
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))) |
-1 |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
(* -1 U) |
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 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* (* 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))))))))) |
U |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))) |
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))) |
(* -1/2 (/ U J)) |
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))) |
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))) |
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))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))) |
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 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)))))))))) |
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) |
(* 1/4 (/ (pow U 2) (pow J 2))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2)))) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (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) |
(+ (* -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)))))))) |
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)))))) |
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))) |
(* -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)))))))))))))))) |
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))) |
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))) |
(- (* -2 (/ (pow J 2) (pow U 2))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1) |
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1) |
(* -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 (/ (pow J 2) U)) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U) |
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U) |
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))) |
(* -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 (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) (* -1/4 (/ (pow U 2) J))) |
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J))))) |
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))))) |
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 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))) |
(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))))))))))))) |
(+ 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) (+ (* -1/4 (* (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 (+ (* 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) J)) |
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J))) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) |
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))) |
(* -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)))) |
(* -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))) |
(cos (* -1/2 K)) |
(cos (* -1/2 K)) |
(cos (* -1/2 K)) |
(cos (* -1/2 K)) |
(* -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)))))))) |
(* -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))) 1))) |
(* -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))) 1))) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1) |
(* -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 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U) |
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U) |
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(* 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) |
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) |
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2)) |
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2)) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(* -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)))) |
(* 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))))))) |
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 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 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -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 (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))) |
(* -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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2)))) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2)))) |
(* -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 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2))))) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -2 (/ (pow J 2) U)) |
(* -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) |
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2)))))) |
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2))))))) |
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2)))))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
1 |
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))) |
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))) |
(* -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 (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 (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(* -2 J) |
(* -2 J) |
(* -2 J) |
(* -2 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 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
1 |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) J)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
| Outputs |
|---|
(* -2 (* J (cos (* -1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) |
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (pow.f64 J #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.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 (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (pow.f64 J #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 U U))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))) |
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (/.f64 (*.f64 U U) (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)) (pow.f64 J #s(literal 3 binary64))))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))) |
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) U) |
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) U) |
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) |
(*.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (*.f64 U U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (*.f64 U U)) |
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (*.f64 U U)) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -1 U) |
(neg.f64 U) |
(* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))) |
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(* 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))))))))) |
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(* 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))))))) |
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(* 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)))))))) |
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(* -1 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 |
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-1 |
#s(literal -1 binary64) |
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(*.f64 (neg.f64 J) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal -1/64 binary64) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) |
(* -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 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal -1/64 binary64) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) |
(* -2 (* J (cos (* 1/2 K)))) |
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (neg.f64 J) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (neg.f64 J) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) |
(*.f64 (neg.f64 J) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
(* -2 J) |
(*.f64 J #s(literal -2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 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)))))))) |
(fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64))) |
(+ 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))))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) |
(* -1/4 (/ (pow U 2) J)) |
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) |
(* -1/4 (/ (pow U 2) J)) |
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) |
(* -1/4 (/ (pow U 2) J)) |
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) |
(* -1/4 (/ (pow U 2) J)) |
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) |
| 7 032× | lower-*.f32 |
| 7 006× | lower-*.f64 |
| 4 356× | lower-fma.f32 |
| 4 350× | lower-fma.f64 |
| 3 660× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 467 |
| 0 | 107 | 461 |
| 1 | 356 | 455 |
| 2 | 2516 | 455 |
| 0 | 9440 | 441 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) |
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) |
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) |
(neg.f64 U) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
(fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)) |
#s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) |
(*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) J) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
(*.f64 J #s(literal -2 binary64)) |
(cos.f64 (*.f64 K #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)))) |
#s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) |
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) |
| Outputs |
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Compiled 28 134 to 2 180 computations (92.3% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 032 | 15 | 1 047 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 037 | 30 | 1 067 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.5% | (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
| ✓ | 39.5% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
| 31.3% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) | |
| 12.3% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) | |
| 10.8% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) | |
| 22.9% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))) | |
| 27.3% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) | |
| 32.6% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) | |
| 27.2% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) | |
| 17.7% | #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) | |
| 53.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U (/.f64 (*.f64 #s(literal -1/4 binary64) U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) | |
| ✓ | 35.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
| 25.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))))) | |
| 17.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) | |
| 25.3% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal -1 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) | |
| ✓ | 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) |
| 38.9% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) | |
| 38.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) | |
| ✓ | 52.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) |
| ✓ | 26.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
| 27.0% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) | |
| 9.4% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) | |
| ✓ | 17.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
| ✓ | 35.2% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) |
| 24.8% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))) | |
| 27.5% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))) | |
| 25.6% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (*.f64 (fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))) | |
| ✓ | 28.7% | #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
Compiled 1 436 to 685 computations (52.3% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (*.f64 J #s(literal -2 binary64)) (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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U (/.f64 (*.f64 #s(literal -1/4 binary64) U) 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)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) 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)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (*.f64 (fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 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 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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 -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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (sqrt.f64 (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)))) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.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))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))) #s(literal -2 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) U)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
6 calls:
| 17.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 15.0ms | (/.f64 K #s(literal 2 binary64)) |
| 14.0ms | K |
| 14.0ms | J |
| 14.0ms | (*.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 |
|---|---|---|
| 77.9% | 2 | J |
| 71.7% | 1 | K |
| 76.7% | 2 | U |
| 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))))) |
| 71.7% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 71.7% | 1 | (/.f64 K #s(literal 2 binary64)) |
Compiled 34 to 37 computations (-8.8% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (*.f64 J #s(literal -2 binary64)) (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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U (/.f64 (*.f64 #s(literal -1/4 binary64) U) 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)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) 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)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (*.f64 (fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 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 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (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 #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 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 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 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
1 calls:
| 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 |
|---|---|---|
| 97.8% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (*.f64 J #s(literal -2 binary64)) (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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U (/.f64 (*.f64 #s(literal -1/4 binary64) U) 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)))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) 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)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (/.f64 (fma.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (*.f64 (fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 U J) (/.f64 U 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
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 |
|---|---|---|
| 92.0% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (*.f64 J #s(literal -2 binary64)) (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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U 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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
1 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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (*.f64 J #s(literal -2 binary64)) (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)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 U U) (*.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
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 |
|---|---|---|
| 85.3% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 U (/.f64 U J)) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* J -2) (cos (* K 1/2))) (/ (/ (* (* U U) -1/4) J) (cos (* K 1/2)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) K) K (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
3 calls:
| 8.0ms | J |
| 7.0ms | U |
| 7.0ms | (*.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 |
|---|---|---|
| 52.1% | 2 | U |
| 53.4% | 2 | J |
| 77.2% | 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 26 to 23 computations (11.5% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 #s(approx (+ (* (/ 1/4 J) (* U (/ U J))) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 U U) #s(literal 1 binary64)))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
4 calls:
| 8.0ms | K |
| 7.0ms | (*.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))))) |
| 6.0ms | (/.f64 K #s(literal 2 binary64)) |
| 6.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.7% | 4 | K |
| 47.7% | 4 | (/.f64 K #s(literal 2 binary64)) |
| 55.4% | 3 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 69.7% | 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 32 to 31 computations (3.1% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) |
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 |
|---|---|---|
| 63.8% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))) (neg.f64 U))) |
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 |
|---|---|---|
| 63.8% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal -2 binary64)) J))) |
| Outputs |
|---|
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (+ 1/2 (* 1/2 (cos K))) #s(literal 1 binary64)) (*.f64 (/.f64 J U) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
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 |
|---|---|---|
| 63.5% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (+ 1/2 (* 1/2 (cos K))) (* (/ J U) (* -2 J))) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))) |
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (/ (* (* (/ U J) 1/2) U) (* (+ 1/2 (* 1/2 (cos K))) (* 2 J)))))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (* U (/ U J))) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) |
1 calls:
| 4.0ms | (*.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 |
|---|---|---|
| 63.5% | 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 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.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)) |
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) |
4 calls:
| 2.0ms | (*.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))))) |
| 2.0ms | J |
| 2.0ms | U |
| 1.0ms | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.9% | 2 | U |
| 47.4% | 2 | J |
| 37.6% | 2 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 47.2% | 2 | (*.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 30 to 29 computations (3.3% 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 | U |
| 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 | J |
| 1.0ms | K |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | (cos.f64 (/.f64 K #s(literal 2 binary64))) |
| 35.2% | 1 | K |
| 35.2% | 1 | (/.f64 K #s(literal 2 binary64)) |
| 35.2% | 1 | U |
| 35.2% | 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))))) |
| 35.2% | 1 | J |
Compiled 34 to 37 computations (-8.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.638077001258182e+298 | +inf |
| 0.0ms | -inf | -6.164028443830143e+306 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.638077001258182e+298 | +inf |
| 0.0ms | -3.9092434914031105e+230 | -7.696108759266765e+229 |
| 0.0ms | -inf | -6.164028443830143e+306 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.638077001258182e+298 | +inf |
| 0.0ms | -inf | -6.164028443830143e+306 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.638077001258182e+298 | +inf |
| 0.0ms | -6.164028443830143e+306 | -1.1466993557929005e+301 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.638077001258182e+298 | +inf |
| 0.0ms | -1.4635888946495468e-169 | -3.926724062986464e-206 |
| 0.0ms | -inf | -6.164028443830143e+306 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -inf | -6.164028443830143e+306 |
Compiled 27 to 23 computations (14.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -6.447439772795671e-98 | -2.4165803662346092e-98 |
| 0.0ms | -1.3706925459904971e+240 | -1.1459442800388164e+239 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -5.25917210275453e+256 | -7.703931684064226e+255 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -5.25917210275453e+256 | -7.703931684064226e+255 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -5.25917210275453e+256 | -7.703931684064226e+255 |
Compiled 27 to 23 computations (14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.6198545321224612e-298 | 8.733693148452423e-201 |
| 0.0ms | -6.164028443830143e+306 | -1.1466993557929005e+301 |
Compiled 27 to 23 computations (14.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 423129957258.9097 | 6191192150346476000.0 |
| 17.0ms | 144× | 0 | valid |
Compiled 99 to 149 computations (-50.5% saved)
ival-mult: 4.0ms (29.4% of total)ival-cos: 3.0ms (22.1% of total)ival-div: 2.0ms (14.7% of total)ival-sqrt: 2.0ms (14.7% of total)ival-add: 1.0ms (7.4% of total)ival-pow2: 1.0ms (7.4% 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 |
| 72× | *-commutative-binary64-*.f64 |
| 20× | +-commutative-binary64-+.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 2227 |
| 1 | 222 | 2227 |
| 2 | 242 | 2227 |
| 3 | 258 | 2227 |
| 4 | 267 | 2227 |
| 5 | 270 | 2227 |
| 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 -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 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 -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))) |
(if (<=.f64 J #s(literal 3200000000000 binary64)) #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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 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 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) 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))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))) |
(if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (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)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (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 -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 -200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U 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 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 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 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))) |
(if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 binary64)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) U) (*.f64 (+.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (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 -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 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 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))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))) |
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(if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))) |
(if (<=.f64 J #s(literal 3200000000000 binary64)) #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)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 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 |
| 13 936× | lower-fma.f64 |
| 13 936× | lower-fma.f32 |
| 11 186× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 328 |
| 0 | 82 | 318 |
| 1 | 220 | 310 |
| 2 | 1177 | 306 |
| 0 | 9327 | 304 |
| 0 | 17 | 66 |
| 0 | 28 | 66 |
| 1 | 79 | 66 |
| 2 | 432 | 66 |
| 3 | 4364 | 66 |
| 0 | 8129 | 66 |
| 0 | 616 | 13788 |
| 1 | 2016 | 13503 |
| 2 | 7643 | 13495 |
| 0 | 8072 | 12875 |
| 0 | 838 | 16145 |
| 1 | 2716 | 15735 |
| 0 | 8756 | 14747 |
| 0 | 360 | 3717 |
| 1 | 1153 | 3609 |
| 2 | 4535 | 3477 |
| 0 | 8519 | 3319 |
| 0 | 633 | 13321 |
| 1 | 2032 | 12990 |
| 2 | 7662 | 12988 |
| 0 | 8032 | 12156 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 833 to 734 computations (60% saved)
(abs K)
Compiled 3 062 to 656 computations (78.6% saved)
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